Vladimir Petrov Kostov - Author Profile

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Kostov, Vladimir Petrov

Author ID:	kostov.vladimir-petrov
Published as:	Kostov, Vladimir Petrov; Kostov, V. P.; Kostov, Vladimir P.; Kostov, Vladimir; Kostov, V.; Kostov, Vl. P. more...less
Homepage:	http://math.unice.fr/laboratoire/fiche&id=207
External Links:	ResearchGate · Math-Net.Ru

Documents Indexed:	139 Publications since 1984, including 1 Book and 15 Additional arXiv Preprints
Reviewing Activity:	715 Reviews
Co-Authors:	17 Co-Authors with 34 Joint Publications
	544 Co-Co-Authors

all top 5

Co-Authors

104	single-authored
12	Shapiro, Boris Zalmanovich
7	Gati, Yousra
5	Cheriha, Hassen
5	Degtiariova-Kostova, Elena V.
3	Balser, Werner
3	Dimitrov, Dimitar K.
3	Tarchi, Mohamed Chaouki
2	Forsgård, Jens
1	Alkhatib, Soliman A.
1	Boissonnat, Jean-Daniel
1	Cerezo, André
1	Gabber, Ofer
1	Gati, Youstra
1	Hayssam, Ezzaldine
1	Lando, Sergei K.
1	Leblond, Juliette
1	Martínez-Finkelshtein, Andrei
1	Tyaglov, Mikhail

all top 5

Serials

11	Serdica Mathematical Journal
10	Doklady Bolgarskoĭ Akademii Nauk
9	Bulletin des Sciences Mathématiques
8	Journal of Dynamical and Control Systems
6	Functional Analysis and its Applications
5	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5	Comptes Rendus. Mathématique. Académie des Sciences, Paris
4	Revista Matemática Complutense
3	Publicationes Mathematicae Debrecen
3	Comptes Rendus de l’Académie des Sciences. Série I
3	Acta Universitatis Matthiae Belii. Series Mathematics
2	Differentsial’nye Uravneniya
2	Funkcialaj Ekvacioj. Serio Internacia
2	Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
2	Experimental Mathematics
2	Vietnam Journal of Mathematics
2	Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2	Matematychni Studiï
2	Constructive Mathematical Analysis
1	Analysis Mathematica
1	Journal of Mathematical Analysis and Applications
1	Lithuanian Mathematical Journal
1	Moscow University Mathematics Bulletin
1	Applied Mathematics and Computation
1	Czechoslovak Mathematical Journal
1	Differential Equations
1	Duke Mathematical Journal
1	Journal of Algebra
1	Journal of Approximation Theory
1	Mathematics of the USSR. Izvestiya
1	Proceedings of the American Mathematical Society
1	Results in Mathematics
1	Studia Scientiarum Mathematicarum Hungarica
1	Theoretical Computer Science
1	Mathematica Balkanica. New Series
1	Mathematica Bohemica
1	Acta Mathematica Universitatis Comenianae. New Series
1	Automation and Remote Control
1	Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1	Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
1	Panoramas et Synthèses
1	Functional Analysis and Other Mathematics
1	Graduate Journal of Mathematics

all top 5

Fields

46	Real functions (26-XX)
43	Functions of a complex variable (30-XX)
37	Field theory and polynomials (12-XX)
24	Ordinary differential equations (34-XX)
14	Linear and multilinear algebra; matrix theory (15-XX)
11	Group theory and generalizations (20-XX)
8	Number theory (11-XX)
7	Algebraic geometry (14-XX)
6	Global analysis, analysis on manifolds (58-XX)
5	Calculus of variations and optimal control; optimization (49-XX)
4	Several complex variables and analytic spaces (32-XX)
4	Special functions (33-XX)
3	Systems theory; control (93-XX)
2	Manifolds and cell complexes (57-XX)
2	Mechanics of particles and systems (70-XX)
1	Combinatorics (05-XX)
1	Commutative algebra (13-XX)
1	Associative rings and algebras (16-XX)
1	Nonassociative rings and algebras (17-XX)
1	Partial differential equations (35-XX)
1	Dynamical systems and ergodic theory (37-XX)
1	Approximations and expansions (41-XX)
1	Numerical analysis (65-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

95 Publications have been cited 482 times in 179 Documents	Cited by ▼	Year ▼
Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008 Kostov, Vladimir Petrov; Shapiro, Boris	29	2013
On the zeros of a partial theta function. Zbl 1278.26019 Kostov, Vladimir Petrov	21	2013
On the Deligne-Simpson problem. Zbl 0937.20024 Kostov, Vladimir Petrov	18	1999
On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030 Kostov, V. P.	16	1989
The Deligne-Simpson problem – survey. Zbl 1066.15016 Kostov, Vladimir Petrov	16	2004
Could René Descartes have known this? Zbl 1326.26027 Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z.	14	2015
On a partial theta function and its spectrum. Zbl 1403.11036 Kostov, Vladimir Petrov	12	2016
Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007 Kostov, Vladimir Petrov	12	1992
On the spectrum of partial theta function. Zbl 1314.30009 Kostov, Vladimir Petrov	12	2014
On some aspects of the Deligne-Simpson problem. Zbl 1031.15020 Kostov, V. P.	11	2003
A property of a partial theta function. Zbl 1324.33013 Kostov, Vladimir P.	11	2014
Asymptotics of the spectrum of partial theta function. Zbl 1303.11053 Kostov, Vladimir Petrov	11	2014
On realizability of sign patterns by real polynomials. Zbl 1499.26052 Kostov, Vladimir	10	2018
Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001 Kostov, Vladimir	10	2015
About a partial theta function. Zbl 1313.26002 Kostov, V.	10	2013
Topics on hyperbolic polynomials in one variable. Zbl 1259.12001 Kostov, Vladimir Petrov	9	2011
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085 Balser, W.; Kostov, V.	9	2002
On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066 Kostov, V. P.	8	1996
On the Schur-Szegő composition of polynomials. Zbl 1127.30004 Kostov, Vladimir; Shapiro, Boris	8	2006
The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010 Kostov, Vladimir	8	2016
On the double zeros of a partial theta function. Zbl 1345.26004 Kostov, Vladimir Petrov	7	2016
A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051 Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov	7	2019
Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002 Kostov, V. P.	7	1984
On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001 Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich	7	2002
The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039 Kostov, Vladimir Petrov	7	2001
Descartes’ rule of signs and moduli of roots. Zbl 1463.26024 Kostov, Vladimir Petrov	7	2020
Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052 Kostov, Vladimir Petrov	6	2019
The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001 Alkhatib, Soliman; Kostov, Vladimir Petrov	6	2008
The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001 Kostov, Vladimir Petrov	6	2007
On the Deligne-Simpson problem. Zbl 1036.34106 Kostov, V. P.	6	2002
Narayana numbers and Schur-Szegő composition. Zbl 1230.05030 Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z.	6	2009
Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009 Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris	5	2019
Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002 Kostov, Vladimir Petrov	5	2008
Some examples related to the Deligne-Simpson problem. Zbl 1063.20055 Kostov, Vladimir P.	5	2001
Some examples of rigid representations. Zbl 0974.15008 Kostov, Vladimir Petrov	5	2000
The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028 Kostov, V. P.; Degtiariova-Kostova, E. V.	5	1995
Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P.	5	2011
Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024 Degtiariova-Kostova, Elena; Kostov, Vladimir	5	1995
Quantum states of monodromy groups. Zbl 0958.34076 Kostov, V. P.	4	1999
On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001 Kostov, Vladimir Petrov	4	2007
On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001 Kostov, Vladimir Petrov	4	2005
Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002 Kostov, V. P.	4	2002
Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011 Kostov, Vladimir Petrov	4	2001
On multiple zeros of a partial theta function. Zbl 1350.33029 Kostov, V. P.	3	2016
On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027 Kostov, Vladimir Petrov	3	1999
A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096 Kostov, V. P.	3	2018
A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011 Kostov, V. P.	3	1995
Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033 Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail	3	2011
On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	3	2020
On polynomial-like functions. Zbl 1155.12300 Kostov, Vladimir Petrov	3	2005
Very hyperbolic polynomials. Zbl 1124.12002 Kostov, V. P.	3	2005
Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301 Kostov, Vladimir Petrov	3	2006
Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004 Kostov, V. P.	3	2002
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030 Balser, Werner; Kostov, Vladimir	3	2005
A domain containing all zeros of the partial theta function. Zbl 1413.26003 Kostov, Vladimir Petrov	3	2018
Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005 Kostov, Vladimir Petrov	3	1994
Versal deformations of powers of volume forms. Zbl 0792.32024 Kostov, V. P.; Lando, S. K.	3	1993
Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006 Kostov, V. P.	3	1994
The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020 Kostov, Vladimir Petrov	3	2022
Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035 Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette	2	1999
Some facts about discriminants. Zbl 1389.12001 Kostov, Vladimir Petrov	2	2017
Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001 Kostov, V. P.	2	1990
On the Deligne–Simpson problem and its weak version. Zbl 1048.15012 Kostov, Vladimir Petrov	2	2004
On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005 Kostov, V. P.	2	1990
On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003 Kostov, Vladimir Petrov	2	2007
Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059 Kostov, Vladimir Petrov	2	2004
On a stratification defined by real roots of polynomials. Zbl 1049.12002 Kostov, Vladimir Petrov	2	2003
The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022 Kostov, Vladimir Petrov	2	2005
Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003 Kostov, Vladimir Petrov	2	2015
A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006 Kostov, V. P.	2	2009
Hyperbolic polynomials and rigid orders of moduli. Zbl 1524.26022 Kostov, Vladimir Petrov	2	2022
On the complex conjugate zeros of the partial theta function. Zbl 1434.30003 Kostov, Vladimir P.	2	2019
Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	2	2020
On the zero set of the partial theta function. Zbl 1499.33070 Kostov, Vladimir Petrov	2	2019
Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018 Kostov, Vladimir P.	2	2010
The minimal number of generators of a matrix algebra. Zbl 0952.16018 Kostov, V. P.	1	1996
The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014 Kostov, Vladimir Petrov	1	2007
The Schur-Szegö composition for real polynomials. Zbl 1156.12001 Kostov, Vladimir Petrov	1	2008
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142 Balser, Werner; Kostov, Vladimir	1	2003
On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012 Kostov, Vladimir Petrov	1	2003
Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066 Kostov, Vladimir P.	1	2000
Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072 Kostov, V. P.	1	1999
A mapping defined by the Schur-Szegö composition. Zbl 1224.12003 Kostov, V.	1	2010
Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002 Hayssam, Ezzaldine; Kostov, Vladimir Petrov	1	2008
A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165 Kostov, Vladimir	1	2009
A mapping connected with the Schur-Szegő composition. Zbl 1221.12002 Kostov, Vladimir Petrov	1	2009
Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P.	1	2010
A property of discriminants. Zbl 1419.12001 Kostov, Vladimir Petrov	1	2019
Very hyperbolic polynomials in one variable. Zbl 1093.26008 Kostov, Vladimir Petrov	1	2005
Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070 Kostov, Vladimir Petrov	1	2020
Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	1	2020
Sign patterns and rigid orders of moduli. Zbl 1500.26012 Gati, Yousra; Kostov, Vladimir Petrov; Tarchi, Mohamed Chaouki	1	2021
Which sign patterns are canonical? Zbl 1504.26026 Kostov, Vladimir Petrov	1	2022
Univariate polynomials and the contractability of certain sets. Zbl 1524.26023 Kostov, Vladimir Petrov	1	2020
A domain free of the zeros of the partial theta function. Zbl 1524.26001 Kostov, V.	1	2023
A domain free of the zeros of the partial theta function. Zbl 1524.26001 Kostov, V.	1	2023
The disconnectedness of certain sets defined after uni-variate polynomials. Zbl 1513.26020 Kostov, Vladimir Petrov	3	2022
Hyperbolic polynomials and rigid orders of moduli. Zbl 1524.26022 Kostov, Vladimir Petrov	2	2022
Which sign patterns are canonical? Zbl 1504.26026 Kostov, Vladimir Petrov	1	2022
Sign patterns and rigid orders of moduli. Zbl 1500.26012 Gati, Yousra; Kostov, Vladimir Petrov; Tarchi, Mohamed Chaouki	1	2021
Descartes’ rule of signs and moduli of roots. Zbl 1463.26024 Kostov, Vladimir Petrov	7	2020
On Descartes’ rule for polynomials with two variations of signs. Zbl 1469.26016 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	3	2020
Descartes’ rule of signs, Rolle’s theorem and sequences of compatible pairs. Zbl 1474.26050 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	2	2020
Partial theta function and separation in modulus property of its zeros. Zbl 1446.11070 Kostov, Vladimir Petrov	1	2020
Degree 5 polynomials and Descartes’ rule of signs. Zbl 1462.26011 Cheriha, Hassen; Gati, Yousra; Kostov, Vladimir Petrov	1	2020
Univariate polynomials and the contractability of certain sets. Zbl 1524.26023 Kostov, Vladimir Petrov	1	2020
A nonrealization theorem in the context of Descartes’ rule of signs. Zbl 1474.26051 Cheriha, Hassen; Gati, Youstra; Kostov, Vladimir Petrov	7	2019
Polynomials, sign patterns and Descartes’ rule of signs. Zbl 1474.26052 Kostov, Vladimir Petrov	6	2019
Corrigendum to: “Could René Descartes have known this?”. (Corrigendum to: “Could René Descrates have known this?”.) Zbl 1435.26009 Forsgård, Jens; Kostov, Vladimir Petrov; Shapiro, Boris	5	2019
On the complex conjugate zeros of the partial theta function. Zbl 1434.30003 Kostov, Vladimir P.	2	2019
On the zero set of the partial theta function. Zbl 1499.33070 Kostov, Vladimir Petrov	2	2019
A property of discriminants. Zbl 1419.12001 Kostov, Vladimir Petrov	1	2019
On realizability of sign patterns by real polynomials. Zbl 1499.26052 Kostov, Vladimir	10	2018
A separation in modulus property of the zeros of a partial theta function. Zbl 1438.11096 Kostov, V. P.	3	2018
A domain containing all zeros of the partial theta function. Zbl 1413.26003 Kostov, Vladimir Petrov	3	2018
Some facts about discriminants. Zbl 1389.12001 Kostov, Vladimir Petrov	2	2017
On a partial theta function and its spectrum. Zbl 1403.11036 Kostov, Vladimir Petrov	12	2016
The closest to \(0\) spectral number of the partial theta function. Zbl 1374.30010 Kostov, Vladimir	8	2016
On the double zeros of a partial theta function. Zbl 1345.26004 Kostov, Vladimir Petrov	7	2016
On multiple zeros of a partial theta function. Zbl 1350.33029 Kostov, V. P.	3	2016
Could René Descartes have known this? Zbl 1326.26027 Forsgård, Jens; Kostov, Vladimir P.; Shapiro, Boris Z.	14	2015
Asymptotic expansions of zeros of a partial theta function. Zbl 1340.26001 Kostov, Vladimir	10	2015
Stabilization of the asymptotic expansions of the zeros of a partial theta function. Zbl 1374.26003 Kostov, Vladimir Petrov	2	2015
On the spectrum of partial theta function. Zbl 1314.30009 Kostov, Vladimir Petrov	12	2014
A property of a partial theta function. Zbl 1324.33013 Kostov, Vladimir P.	11	2014
Asymptotics of the spectrum of partial theta function. Zbl 1303.11053 Kostov, Vladimir Petrov	11	2014
Hardy-Petrovitch-Hutchinson’s problem and partial theta function. Zbl 1302.30008 Kostov, Vladimir Petrov; Shapiro, Boris	29	2013
On the zeros of a partial theta function. Zbl 1278.26019 Kostov, Vladimir Petrov	21	2013
About a partial theta function. Zbl 1313.26002 Kostov, V.	10	2013
Topics on hyperbolic polynomials in one variable. Zbl 1259.12001 Kostov, Vladimir Petrov	9	2011
Sharp Turán inequalities via very hyperbolic polynomials. Zbl 1210.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P.	5	2011
Maximal univalent disks of real rational functions and Hermite-Biehler polynomials. Zbl 1223.26033 Kostov, Vladimir P.; Shapiro, Boris; Tyaglov, Mikhail	3	2011
Additive Deligne-Simpson problem for non-Fuchsian systems. Zbl 1246.15018 Kostov, Vladimir P.	2	2010
A mapping defined by the Schur-Szegö composition. Zbl 1224.12003 Kostov, V.	1	2010
Distances between critical points and midpoints of zeros of hyperbolic polynomials. Zbl 1191.30003 Dimitrov, Dimitar K.; Kostov, Vladimir P.	1	2010
Narayana numbers and Schur-Szegő composition. Zbl 1230.05030 Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z.	6	2009
A realization theorem in the context of the Schur-Szegő composition. Zbl 1271.26006 Kostov, V. P.	2	2009
A realization theorem about the Schur-Szegö composition for entire functions. Zbl 1199.30165 Kostov, Vladimir	1	2009
A mapping connected with the Schur-Szegő composition. Zbl 1221.12002 Kostov, Vladimir Petrov	1	2009
The Schur-Szegö composition of real polynomials of degree 2. Zbl 1166.12001 Alkhatib, Soliman; Kostov, Vladimir Petrov	6	2008
Eigenvectors in the context of the Schur-Szegö composition of polynomials. Zbl 1166.12002 Kostov, Vladimir Petrov	5	2008
The Schur-Szegö composition for real polynomials. Zbl 1156.12001 Kostov, Vladimir Petrov	1	2008
Even and old overdetermined strata for degree 6 hyperbolic polynomials. Zbl 1224.12002 Hayssam, Ezzaldine; Kostov, Vladimir Petrov	1	2008
The Schur-Szegö composition for hyperbolic polynomials. Zbl 1164.12001 Kostov, Vladimir Petrov	6	2007
On hyperbolic polynomial-like functions and their derivatives. Zbl 1146.12001 Kostov, Vladimir Petrov	4	2007
On root arrangements for hyperbolic polynomial-like functions and their derivatives. Zbl 1139.12003 Kostov, Vladimir Petrov	2	2007
The Deligne-Simpson problem and the connectedness of some varieties. Zbl 1133.15014 Kostov, Vladimir Petrov	1	2007
On the Schur-Szegő composition of polynomials. Zbl 1127.30004 Kostov, Vladimir; Shapiro, Boris	8	2006
Root arrangements of hyperbolic polynomial-like functions. Zbl 1155.12301 Kostov, Vladimir Petrov	3	2006
On root arrangements of polynomial-like functions and their derivatives. Zbl 1097.12001 Kostov, Vladimir Petrov	4	2005
On polynomial-like functions. Zbl 1155.12300 Kostov, Vladimir Petrov	3	2005
Very hyperbolic polynomials. Zbl 1124.12002 Kostov, V. P.	3	2005
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030 Balser, Werner; Kostov, Vladimir	3	2005
The connectedness of some varieties and the Deligne \(-\) Simpson problem. Zbl 1072.15022 Kostov, Vladimir Petrov	2	2005
Very hyperbolic polynomials in one variable. Zbl 1093.26008 Kostov, Vladimir Petrov	1	2005
The Deligne-Simpson problem – survey. Zbl 1066.15016 Kostov, Vladimir Petrov	16	2004
On the Deligne–Simpson problem and its weak version. Zbl 1048.15012 Kostov, Vladimir Petrov	2	2004
Very hyperbolic and stably hyperbolic polynomials. Zbl 1070.14059 Kostov, Vladimir Petrov	2	2004
On some aspects of the Deligne-Simpson problem. Zbl 1031.15020 Kostov, V. P.	11	2003
On a stratification defined by real roots of polynomials. Zbl 1049.12002 Kostov, Vladimir Petrov	2	2003
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142 Balser, Werner; Kostov, Vladimir	1	2003
On the weak Deligne-Simpson problem for index of rigidity 2, with an appendix by Ofer Gabber. Zbl 1033.15012 Kostov, Vladimir Petrov	1	2003
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085 Balser, W.; Kostov, V.	9	2002
On arrangements of roots for a real hyperbolic polynomial and its derivatives. Zbl 0998.12001 Kostov, Vladimir Petrov; Shapiro, Boris Zalmanovich	7	2002
On the Deligne-Simpson problem. Zbl 1036.34106 Kostov, V. P.	6	2002
Discriminant sets of families of hyperbolic polynomials of degree 4 and 5. Zbl 1026.12002 Kostov, V. P.	4	2002
Root configurations for hyperbolic polynomials of degree 3, 4, and 5. Zbl 1020.12004 Kostov, V. P.	3	2002
The Deligne-Simpson problem for zero index of rigidity. Zbl 0999.20039 Kostov, Vladimir Petrov	7	2001
Some examples related to the Deligne-Simpson problem. Zbl 1063.20055 Kostov, Vladimir P.	5	2001
Examples illustrating some aspects of the weak Deligne-Simpson problem. Zbl 0980.15011 Kostov, Vladimir Petrov	4	2001
Some examples of rigid representations. Zbl 0974.15008 Kostov, Vladimir Petrov	5	2000
Gauss-Manin systems of polynomials of two variables can be made Fuchsian. Zbl 0979.34066 Kostov, Vladimir P.	1	2000
On the Deligne-Simpson problem. Zbl 0937.20024 Kostov, Vladimir Petrov	18	1999
Quantum states of monodromy groups. Zbl 0958.34076 Kostov, V. P.	4	1999
On the hyperbolicity domain of the polynomial \(x^n+a_1x^{n-1}+\cdots +a_n\). Zbl 0948.58027 Kostov, Vladimir Petrov	3	1999
Shortest plane paths with bounded derivative of the curvature. Zbl 0946.49035 Boissonnat, Jean-Daniel; Cérézo, André; Degtiariova-Kostova, Elena V.; Kostov, Vladimir P.; Leblond, Juliette	2	1999
Normal forms of unfoldings of non-Fuchsian systems. Zbl 0989.34072 Kostov, V. P.	1	1999
On the existence of monodromy groups of Fuchsian systems on Riemann’s sphere with unipotent generators. Zbl 0948.34066 Kostov, V. P.	8	1996
The minimal number of generators of a matrix algebra. Zbl 0952.16018 Kostov, V. P.	1	1996
The planar motion with bounded derivative of the curvature and its suboptimal paths. Zbl 0877.49028 Kostov, V. P.; Degtiariova-Kostova, E. V.	5	1995
Suboptimal paths in a planar motion with bounded derivative of the curvature. Zbl 0863.49024 Degtiariova-Kostova, Elena; Kostov, Vladimir	5	1995
A generalization of the Burnside theorem and of Schur’s lemma for reducible representations. Zbl 0940.15011 Kostov, V. P.	3	1995
Normal forms of unfoldings of non-Fuchsian systems. Zbl 0808.34005 Kostov, Vladimir Petrov	3	1994
Regular linear systems on \({\mathbb{C}}P^ 1\) and their monodromy groups. Zbl 0814.34006 Kostov, V. P.	3	1994
Versal deformations of powers of volume forms. Zbl 0792.32024 Kostov, V. P.; Lando, S. K.	3	1993
Fuchsian linear systems on \(\mathbb{C} P^ 1\) and the Riemann-Hilbert problem. Zbl 0772.34007 Kostov, Vladimir Petrov	12	1992
Versal deformations of differential forms of real degree on the real line. Zbl 0738.58001 Kostov, V. P.	2	1990
On the stratification and singularities of the Stokes hypersurface of one- and two-parameter families of polynomials. Zbl 0731.58005 Kostov, V. P.	2	1990
On the geometric properties of Vandermonde’s mapping and on the problem of moments. Zbl 0687.58030 Kostov, V. P.	16	1989
Versal deformations of differential forms of degree \(\alpha\) on a line. Zbl 0573.58002 Kostov, V. P.	7	1984

all cited Publications top 5 cited Publications

all top 5

Cited by 183 Authors

47	Kostov, Vladimir Petrov
9	Shapiro, Boris Zalmanovich
9	Vishnyakova, Anna M.
8	Nguyen, Thu-Hien Thi
6	Rousseau, Christiane
3	Balser, Werner
3	Basu, Saugata
3	Bolibrukh, Andreĭ Andreevich
3	Cheriha, Hassen
3	Crawley-Boevey, William
3	Dimitrov, Dimitar K.
3	Frego, Marco
3	Gati, Yousra
3	Haraoka, Yoshishige
3	Klimeš, Martin
3	Letellier, Emmanuel
3	Riener, Cordian
3	Županović, Vesna
2	Baricz, Árpád
2	Bertolazzi, Enrico
2	Blanchet-Sadri, Francine
2	Chen, Kun
2	Gleizer, Oleg
2	Hausel, Tamás
2	Hawes, Kenneth
2	Hibino, Masaki
2	Hurtubise, Jacques C.
2	Korkut, Luka
2	Meek, Dereck S.
2	Pogány, Tibor K.
2	Rodriguez-Villegas, Fernando
2	Sage, Daniel S.
2	Soibelman, Alexander
2	Soibelman, Yan S.
2	Vlah, Domagoj
2	Walton, Desmond J.
2	Yamakawa, Daisuke
2	Žubrinić, Darko
1	Alarcón, Antonio
1	Albeverio, Sergio A.
1	Annabi, Hammouda
1	Bahraminasab, Mohammad Reza
1	Ballandras, Mathieu
1	Bandura, Andriĭ
1	Batts, Laura J.
1	Bevilacqua, Giulia
1	Bibak, Khodakhast
1	Biswas, Indranil
1	Boalch, Philip P.
1	Bohdanov, Anton
1	Borcea, Julius
1	Bothner, Thomas
1	Chen, William Yong-Chuan
1	Christopher, Colin J.
1	Cohen, Daniel C.
1	Combot, Thierry
1	Conti, William R. P.
1	Costin, Ovidiu
1	Cotti, Giordano
1	Crâşmăreanu, Mircea
1	Dedieu, Jean-Pierre
1	Dimca, Alexandru
1	Domitrz, Wojciech
1	Douai, Antoine
1	Driver, Kathy A.
1	Dupljanin, Đorđije
1	Dyachenko, Alexander Victorovich
1	Falbel, Elisha
1	Fan, Zhou
1	Fedorov, Roman M.
1	Flores, Ramón J.
1	Forsgård, Jens
1	Forstnerič, Franc
1	Franc, Cameron
1	Françoise, Jean-Pierre
1	Friedland, Shmuel
1	Frolova, Anastasia
1	Fuji, Kenta
1	Gati, Youstra
1	Gerhardt, Spencer
1	Ghominejad, Mehrdad
1	Giorgadze, Grigory
1	Goldman, Gil
1	Golitsyna, Mayya
1	González-Meneses, Juan
1	Gordeev, Nikolai L.
1	Guzzetti, Davide
1	Hayssam, Ezzaldine
1	Heu, Viktoria
1	Hiroe, Kazuki
1	Holtz, Olga
1	Houssam, Khalil
1	Hu, Su
1	Inoue, Keisuke
1	Ismail, Mourad El-Houssieny
1	Its, Alexander Rudolfovich
1	Jankov, Dragana
1	Kapaev, Andrei A.
1	Kapron, Bruce M.
1	Katkova, Olga M.
...and 83 more Authors

all top 5

Cited in 93 Serials

10	Bulletin des Sciences Mathématiques
8	Journal of Mathematical Analysis and Applications
6	Advances in Mathematics
6	Journal of Dynamical and Control Systems
5	Annales de l’Institut Fourier
5	Journal of Differential Equations
4	Matematychni Studiï
4	Comptes Rendus. Mathématique. Académie des Sciences, Paris
3	Journal of Mathematical Physics
3	Applied Mathematics and Computation
3	Duke Mathematical Journal
3	Functional Analysis and its Applications
3	Journal of Algebra
3	Journal of Computational and Applied Mathematics
3	Mathematische Annalen
3	Results in Mathematics
3	Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3	Vietnam Journal of Mathematics
2	Journal of Pure and Applied Algebra
2	Mathematische Nachrichten
2	Transactions of the American Mathematical Society
2	Advances in Applied Mathematics
2	Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika
2	Linear Algebra and its Applications
2	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2	Experimental Mathematics
2	Acta Universitatis Matthiae Belii. Series Mathematics
2	Selecta Mathematica. New Series
2	Revista Matemática Complutense
2	Qualitative Theory of Dynamical Systems
2	Computational Methods and Function Theory
2	Oberwolfach Reports
2	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2	Arnold Mathematical Journal
2	European Journal of Mathematics
2	Constructive Mathematical Analysis
1	Analysis Mathematica
1	Communications on Pure and Applied Mathematics
1	Discrete Mathematics
1	Journal d’Analyse Mathématique
1	Letters in Mathematical Physics
1	Lithuanian Mathematical Journal
1	Linear and Multilinear Algebra
1	Mathematical Notes
1	Nonlinearity
1	Nuclear Physics. B
1	Ukrainian Mathematical Journal
1	Journal of Geometry and Physics
1	Automatica
1	Czechoslovak Mathematical Journal
1	Funkcialaj Ekvacioj. Serio Internacia
1	Publications Mathématiques
1	Journal of Approximation Theory
1	Journal of Combinatorial Theory. Series A
1	Mathematische Zeitschrift
1	Proceedings of the American Mathematical Society
1	Theoretical Computer Science
1	Tôhoku Mathematical Journal. Second Series
1	Topology and its Applications
1	Ergodic Theory and Dynamical Systems
1	Annals of Global Analysis and Geometry
1	Constructive Approximation
1	Statistical Science
1	Forum Mathematicum
1	Mathematica Bohemica
1	International Journal of Foundations of Computer Science
1	Journal of Global Optimization
1	Expositiones Mathematicae
1	Journal of Algebraic Combinatorics
1	SIAM Journal on Scientific Computing
1	Journal of Mathematical Sciences (New York)
1	St. Petersburg Mathematical Journal
1	Georgian Mathematical Journal
1	Fractals
1	Journal of Difference Equations and Applications
1	The Journal of Fourier Analysis and Applications
1	The Ramanujan Journal
1	Conformal Geometry and Dynamics
1	Mathematical Inequalities & Applications
1	Discrete Dynamics in Nature and Society
1	Annals of Mathematics. Second Series
1	Journal of Nonlinear Mathematical Physics
1	Foundations of Computational Mathematics
1	Journal of the Australian Mathematical Society
1	Mediterranean Journal of Mathematics
1	Proceedings of the Steklov Institute of Mathematics
1	Functional Analysis and Other Mathematics
1	Involve
1	Journal of Singularities
1	Random Matrices: Theory and Applications
1	Journal de l’École Polytechnique – Mathématiques
1	Bollettino dell’Unione Matematica Italiana
1	Graduate Journal of Mathematics

all top 5

Cited in 43 Fields

42	Real functions (26-XX)
41	Functions of a complex variable (30-XX)
38	Ordinary differential equations (34-XX)
24	Algebraic geometry (14-XX)
21	Field theory and polynomials (12-XX)
20	Special functions (33-XX)
18	Several complex variables and analytic spaces (32-XX)
15	Linear and multilinear algebra; matrix theory (15-XX)
15	Group theory and generalizations (20-XX)
14	Number theory (11-XX)
11	Combinatorics (05-XX)
11	Global analysis, analysis on manifolds (58-XX)
10	Differential geometry (53-XX)
7	Associative rings and algebras (16-XX)
7	Dynamical systems and ergodic theory (37-XX)
6	Computer science (68-XX)
5	Partial differential equations (35-XX)
5	Quantum theory (81-XX)
4	Measure and integration (28-XX)
4	Numerical analysis (65-XX)
3	Commutative algebra (13-XX)
3	Nonassociative rings and algebras (17-XX)
3	Topological groups, Lie groups (22-XX)
3	Approximations and expansions (41-XX)
3	Harmonic analysis on Euclidean spaces (42-XX)
3	Operator theory (47-XX)
2	General and overarching topics; collections (00-XX)
2	Integral equations (45-XX)
2	Convex and discrete geometry (52-XX)
2	Manifolds and cell complexes (57-XX)
2	Probability theory and stochastic processes (60-XX)
2	Statistics (62-XX)
1	Difference and functional equations (39-XX)
1	Sequences, series, summability (40-XX)
1	Integral transforms, operational calculus (44-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Geometry (51-XX)
1	Algebraic topology (55-XX)
1	Mechanics of deformable solids (74-XX)
1	Statistical mechanics, structure of matter (82-XX)
1	Operations research, mathematical programming (90-XX)
1	Systems theory; control (93-XX)
1	Information and communication theory, circuits (94-XX)

Kostov, Vladimir Petrov

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Citations contained in zbMATH Open

Cited by 183 Authors

Cited in 93 Serials

Cited in 43 Fields

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