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Biles, Daniel C.

Co-Author Distance
Author ID: biles.daniel-c Recent zbMATH articles by "Biles, Daniel C."
Published as: Biles, Daniel C.; Biles, D. C.
Documents Indexed: 32 Publications since 1992
Reviewing Activity: 170 Reviews
Co-Authors: 10 Co-Authors with 25 Joint Publications
154 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
12 Spraker, John S.
6 Merdivenci Atici, Ferhan
6 Robinson, Mark P.
4 López Pouso, Rodrigo
2 Benko, David
2 Binding, Paul Anthony
2 Lebedinsky, Alex
1 Cid, José Ángel
1 Federson, Márcia
1 Schechter, Eric
all top 5

Serials

4 Journal of Mathematical Analysis and Applications
3 Proceedings of the American Mathematical Society
3 Differential Equations and Applications
2 Mathematical and Computer Modelling
2 Panamerican Mathematical Journal
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Computers & Mathematics with Applications
1 International Journal of Mathematical Education in Science and Technology
1 Czechoslovak Mathematical Journal
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Transactions of the American Mathematical Society
1 Complex Variables. Theory and Application
1 Differential and Integral Equations
1 Dynamic Systems and Applications
1 Topological Methods in Nonlinear Analysis
1 The Canadian Applied Mathematics Quarterly
1 Abstract and Applied Analysis
1 Advances in Difference Equations
1 Boundary Value Problems
1 International Journal of Dynamical Systems and Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

Fields

23 Ordinary differential equations (34-XX)
4 Real functions (26-XX)
4 Numerical analysis (65-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Probability theory and stochastic processes (60-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

26 Publications have been cited 269 times in 236 Documents Cited by ▼ Year ▼
An application of time scales to economics. Zbl 1187.91125
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
140
2006
First order dynamic inclusions on time scales. Zbl 1064.34009
Atici, F. Merdivenci; Biles, D. C.
20
2004
Existence of solutions for discontinuous differential equations. Zbl 0824.34003
Biles, Daniel C.
15
1995
A generalization of the Lane-Emden equation. Zbl 1035.34003
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
15
2002
Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Zbl 0959.34012
Biles, Daniel C.; Schechter, Eric
8
2000
On Carathéodory’s conditions for the initial value problem. Zbl 0869.34004
Biles, D. C.; Binding, P. A.
8
1997
Continuous dependence of nonmonotonic discontinuous differential equations. Zbl 0787.34009
Biles, Daniel C.
8
1993
First- and second-order dynamic equations with impulse. Zbl 1100.39018
Atici, F. M.; Biles, D. C.
8
2005
A comparison of the Carathéodory and Filippov solution sets. Zbl 0854.34012
Spraker, John S.; Biles, Daniel C.
6
1996
Numerical approximation for singular second order differential equations. Zbl 1165.65369
Benko, D.; Biles, D. C.; Robinson, M. P.; Spraker, J. S.
6
2009
First-order singular and discontinuous differential equations. Zbl 1190.34007
Biles, Daniel C.; Pouso, Rodrigo López
6
2009
Nyström methods and singular second-order differential equations. Zbl 1165.65363
Benko, David; Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
5
2008
A utility maximisation problem on multiple time scales. Zbl 1209.93096
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
4
2011
Fixed point approaches to the solution of integral inclusions. Zbl 1085.45004
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
3
2005
A survey of recent results for the generalizations of ordinary differential equations. Zbl 1476.34002
Biles, Daniel C.; Federson, Márcia; Pouso, Rodrigo López
3
2014
A necessary and sufficient condition for to existence of solutions the differential inclusions. Zbl 0910.34029
Biles, Daniel C.
2
1998
Existence of positive solutions for a fourth order differential inclusion. Zbl 1270.34035
Biles, Daniel C.; Spraker, John S.
2
2012
Initial value problems for singular and nonsmooth second order differential inclusions. Zbl 1136.34012
Biles, Daniel C.; Ángel Cid, J.; López Pouso, Rodrigo
2
2007
Subfunctions and cone conditions for initial value problems. Zbl 0918.34003
Biles, Daniel C.; Binding, Paul A.
1
1997
A technique for proving existence of solutions. Zbl 0876.34013
Biles, Daniel C.
1
1997
A study of almost-everywhere singleton-valued Filippovs. Zbl 0755.34002
Biles, Daniel C.; Spraker, John S.
1
1992
Further developement of stochastic calculus on time scales. Zbl 1326.60102
Atici, Ferhan M.; Biles, Daniel C.
1
2015
Extremal solutions to first-order differential inclusions under weak assumptions. Zbl 1231.34025
Biles, Daniel C.; Lopez Pouso, Rodrigo
1
2011
The stochastic Itô integral on time scales. Zbl 1229.60067
Atici, Ferhan M.; Biles, Daniel C.
1
2010
Uniqueness of solutions for second order differential equations. Zbl 1327.34011
Biles, Daniel C.; Spraker, John S.
1
2015
Existence of solutions for singular differential inclusions. Zbl 1141.34006
Biles, Daniel C.
1
2007
Further developement of stochastic calculus on time scales. Zbl 1326.60102
Atici, Ferhan M.; Biles, Daniel C.
1
2015
Uniqueness of solutions for second order differential equations. Zbl 1327.34011
Biles, Daniel C.; Spraker, John S.
1
2015
A survey of recent results for the generalizations of ordinary differential equations. Zbl 1476.34002
Biles, Daniel C.; Federson, Márcia; Pouso, Rodrigo López
3
2014
Existence of positive solutions for a fourth order differential inclusion. Zbl 1270.34035
Biles, Daniel C.; Spraker, John S.
2
2012
A utility maximisation problem on multiple time scales. Zbl 1209.93096
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
4
2011
Extremal solutions to first-order differential inclusions under weak assumptions. Zbl 1231.34025
Biles, Daniel C.; Lopez Pouso, Rodrigo
1
2011
The stochastic Itô integral on time scales. Zbl 1229.60067
Atici, Ferhan M.; Biles, Daniel C.
1
2010
Numerical approximation for singular second order differential equations. Zbl 1165.65369
Benko, D.; Biles, D. C.; Robinson, M. P.; Spraker, J. S.
6
2009
First-order singular and discontinuous differential equations. Zbl 1190.34007
Biles, Daniel C.; Pouso, Rodrigo López
6
2009
Nyström methods and singular second-order differential equations. Zbl 1165.65363
Benko, David; Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
5
2008
Initial value problems for singular and nonsmooth second order differential inclusions. Zbl 1136.34012
Biles, Daniel C.; Ángel Cid, J.; López Pouso, Rodrigo
2
2007
Existence of solutions for singular differential inclusions. Zbl 1141.34006
Biles, Daniel C.
1
2007
An application of time scales to economics. Zbl 1187.91125
Atici, Ferhan M.; Biles, Daniel C.; Lebedinsky, Alex
140
2006
First- and second-order dynamic equations with impulse. Zbl 1100.39018
Atici, F. M.; Biles, D. C.
8
2005
Fixed point approaches to the solution of integral inclusions. Zbl 1085.45004
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
3
2005
First order dynamic inclusions on time scales. Zbl 1064.34009
Atici, F. Merdivenci; Biles, D. C.
20
2004
A generalization of the Lane-Emden equation. Zbl 1035.34003
Biles, Daniel C.; Robinson, Mark P.; Spraker, John S.
15
2002
Solvability of a finite or infinite system of discontinuous quasimonotone differential equations. Zbl 0959.34012
Biles, Daniel C.; Schechter, Eric
8
2000
A necessary and sufficient condition for to existence of solutions the differential inclusions. Zbl 0910.34029
Biles, Daniel C.
2
1998
On Carathéodory’s conditions for the initial value problem. Zbl 0869.34004
Biles, D. C.; Binding, P. A.
8
1997
Subfunctions and cone conditions for initial value problems. Zbl 0918.34003
Biles, Daniel C.; Binding, Paul A.
1
1997
A technique for proving existence of solutions. Zbl 0876.34013
Biles, Daniel C.
1
1997
A comparison of the Carathéodory and Filippov solution sets. Zbl 0854.34012
Spraker, John S.; Biles, Daniel C.
6
1996
Existence of solutions for discontinuous differential equations. Zbl 0824.34003
Biles, Daniel C.
15
1995
Continuous dependence of nonmonotonic discontinuous differential equations. Zbl 0787.34009
Biles, Daniel C.
8
1993
A study of almost-everywhere singleton-valued Filippovs. Zbl 0755.34002
Biles, Daniel C.; Spraker, John S.
1
1992
all cited Publications top 5 cited Publications
all top 5

Cited by 309 Authors

16 Torres, Delfim Fernando Marado
12 López Pouso, Rodrigo
11 Malik, Muslim
10 Malinowska, Agnieszka Barbara
9 Kumar, Vipin
8 Agarwal, Ravi P.
8 Biles, Daniel C.
8 Martins, Natália F.
8 Zhang, Yi
7 Bohner, Martin J.
7 Liu, Haidong
6 Djemai, Mohamed
5 Girejko, Ewa
5 O’Regan, Donal
5 Spraker, John S.
5 Su, Youhui
5 Wang, Chao
4 Abbas, Syed
4 Chang, Yong-Kui
4 Cid, José Ángel
4 Defoort, Michael
4 Li, Wan-Tong
4 Negi, Shekhar Singh
4 Šimon Hilscher, Roman
4 Zeidan, Vera Michel
3 Aslanov, Afgan
3 Bartosiewicz, Zbigniew
3 Ben Nasser, Bacem
3 Es-Saiydy, Mohssine
3 Fagbemigun, Bosede. O.
3 Gülsu, Mustafa
3 Laleg-Kirati, Taous-Meriem
3 Merdivenci Atici, Ferhan
3 Mesquita, Jaqueline Godoy
3 Mogbademu, Adesanmi Alao
3 Öztürk, Yalçın
3 Wei, Wei
3 Zhai, Xianghua
3 Zhan, Zaidong
3 Zhang, Youwei
3 Zitane, Mohamed
2 Al-Salih, Rasheed
2 Anastassiou, George Angelos
2 Benko, David
2 Bourdin, Loïc
2 Cabada, Alberto
2 Chen, Tianping
2 Cichoń, Mieczysław
2 dos Santos, Iguer Luis Domini
2 Federson, Márcia
2 Feng, Zhaosheng
2 Figueroa Sestelo, Rubén
2 Frigon, Marlène
2 Fu, Jingli
2 Heidarkhani, Shapour
2 Heikkilä, Seppo V.
2 Henríquez, Hernán R.
2 Hong, Shihuang
2 Huang, Canyun
2 Kaymakçalan, Billur
2 Kuznetsova, Mariya Andreevna
2 Li, Yongkun
2 Lin, Wei
2 Lizama, Carlos
2 Lu, Wenlian
2 Machado, Luis
2 Oguz, Arzu Denk
2 Otero-Espinar, Maria Victoria
2 Pawłuszewicz, Ewa
2 Pelen, Neslihan Nesliye
2 Precup, Radu
2 Robinson, Mark P.
2 Rodríguez-López, Jorge
2 Rzymowski, Witold
2 Sakthivel, Rathinasamy
2 Satco, Bianca-Renata
2 Schneider, Baruch
2 Silva, Geraldo Nunes
2 Song, Chuanjing
2 Tikare, Sanket A.
2 Topal, Fatma Serap
2 Trélat, Emmanuel
2 Truong, Tri Quoc
2 Vivero, Dolores R.
2 Xia, Yonghui
2 Xu, Huiye
2 Zhong, Wenyong
1 Abdeljalil, Slah Eddin Ben
1 Abdeljawad, Thabet
1 Adivar, Murat
1 Ahamed, Md. Suzan
1 Ahmad, Bashir
1 Ahmad, Hijaz
1 Ahmed, Rizwan
1 Alabert, Aureli
1 Alam, Sultan
1 Almeida, Ricardo
1 Alzabut, Jehad O.
1 Andrade da Silva, F.
1 Aouadi, Saloua Mani
...and 209 more Authors
all top 5

Cited in 108 Serials

16 Advances in Difference Equations
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Computers & Mathematics with Applications
9 Journal of Mathematical Analysis and Applications
8 Mathematical Methods in the Applied Sciences
8 Applied Mathematics and Computation
7 Abstract and Applied Analysis
5 Applied Mathematics Letters
5 Journal of Inequalities and Applications
5 Discrete Dynamics in Nature and Society
5 Boundary Value Problems
4 Applicable Analysis
4 Proceedings of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Differential Equations and Dynamical Systems
3 Journal of Computational and Applied Mathematics
3 Journal of Differential Equations
3 Topological Methods in Nonlinear Analysis
3 Computational and Applied Mathematics
3 Journal of Difference Equations and Applications
3 Asian Journal of Control
3 Journal of Applied Analysis and Computation
2 International Journal of Control
2 Journal of Mathematical Physics
2 Chaos, Solitons and Fractals
2 Mathematische Annalen
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Pattern Recognition
2 Journal of Vibration and Control
2 The ANZIAM Journal
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Optimization Letters
2 Journal of Mathematical Inequalities
2 Nonlinear Analysis. Hybrid Systems
2 Differential Equations and Applications
2 International Journal of Applied and Computational Mathematics
2 Applied Mathematics and Nonlinear Sciences
1 Acta Mechanica
1 Computer Physics Communications
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Optimization
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Optimization
1 MCSS. Mathematics of Control, Signals, and Systems
1 Neural Networks
1 Neural Computation
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 Russian Mathematics
1 Electronic Journal of Differential Equations (EJDE)
1 Turkish Journal of Mathematics
1 Filomat
1 Complexity
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Honam Mathematical Journal
1 Natural Resource Modeling
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Dynamical and Control Systems
1 Qualitative Theory of Dynamical Systems
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Decisions in Economics and Finance
1 Hacettepe Journal of Mathematics and Statistics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Fixed Point Theory and Applications
1 Journal of Industrial and Management Optimization
1 Communications in Mathematical Analysis
1 Nonlinear Oscillations
1 Journal of Fixed Point Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Chinese Journal of Physics (Taipei)
1 Applicable Analysis and Discrete Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nonlinear Science and Applications
1 International Journal of Differential Equations
1 Advances in Pure and Applied Mathematics
1 International Journal of Nonlinear Analysis and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
...and 8 more Serials
all top 5

Cited in 36 Fields

157 Ordinary differential equations (34-XX)
44 Real functions (26-XX)
34 Difference and functional equations (39-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
31 Operator theory (47-XX)
26 Systems theory; control (93-XX)
15 Integral equations (45-XX)
14 Numerical analysis (65-XX)
11 Partial differential equations (35-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Mechanics of particles and systems (70-XX)
9 Biology and other natural sciences (92-XX)
7 Operations research, mathematical programming (90-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Computer science (68-XX)
4 Approximations and expansions (41-XX)
4 Abstract harmonic analysis (43-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Special functions (33-XX)
3 Probability theory and stochastic processes (60-XX)
3 Mechanics of deformable solids (74-XX)
3 Astronomy and astrophysics (85-XX)
2 Measure and integration (28-XX)
2 Sequences, series, summability (40-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year