Frederico, Gastão S. F.; Sousa, J. Vanterler da C.; Almeida, Ricardo Composition functionals in higher order calculus of variations and Noether’s theorem. (English) Zbl 1503.49002 Appl. Anal. 101, No. 17, 6321-6338 (2022). Reviewer: Roman Šimon Hilscher (Brno) MSC: 49J10 70H03 49K15 49J50 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lemos, Nivaldo A. Complete inequivalence of nonholonomic and vakonomic mechanics. (English) Zbl 1502.70035 Acta Mech. 233, No. 1, 47-56 (2022). MSC: 70F25 70H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frederico, Gastão S. F.; da C. Sousa, J. Vanterler; Babakhani, Azizollah Existence and uniqueness of global solution for a Cauchy problem and \(g\)-variational calculus. (English) Zbl 1476.34043 Comput. Appl. Math. 40, No. 6, Paper No. 233, 23 p. (2021). MSC: 34A12 34A40 47Gxx 49S05 70H03 × Cite Format Result Cite Review PDF Full Text: DOI
Shanbrom, Corey Periodic orbits in the Kepler-Heisenberg problem. (English) Zbl 1310.53029 J. Geom. Mech. 6, No. 2, 261-278 (2014). MSC: 53C17 37N05 37J45 70H12 70H06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeremić, O.; Šalinić, S.; Obradović, A.; Mitrović, Z. On the brachistochrone of a variable mass particle in general force fields. (English) Zbl 1235.49046 Math. Comput. Modelling 54, No. 11-12, 2900-2912 (2011). MSC: 49K15 49M05 × Cite Format Result Cite Review PDF Full Text: DOI
García, P. L.; García, A.; Rodrigo, C. Cartan forms for first order constrained variational problems. (English) Zbl 1089.58013 J. Geom. Phys. 56, No. 4, 571-610 (2006). MSC: 58E30 58A15 70S05 70S10 53A10 70H30 × Cite Format Result Cite Review PDF Full Text: DOI
Bruni, C.; Iacoviello, D. A study on abnormality in variational and optimal control problems. (English) Zbl 1056.49023 J. Optimization Theory Appl. 121, No. 1, 41-64 (2004). MSC: 49K15 × Cite Format Result Cite Review PDF Full Text: DOI
Sargent, R. W. H. Optimal control. (English) Zbl 0970.49003 J. Comput. Appl. Math. 124, No. 1-2, 361-371 (2000). Reviewer: H.Benker (Merseburg) MSC: 49-03 01A45 01A50 01A55 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Ahlbrandt, Calvin D.; Harmsen, Betty Jean Discrete versions of continuous isoperimetric problems. (English) Zbl 0908.49031 J. Difference Equ. Appl. 3, No. 5-6, 449-462 (1998). MSC: 49R50 49J10 39A10 39A12 65L12 49M29 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Petit, Philippe On the optimal control of implicit systems. (English) Zbl 0898.93009 ESAIM, Control Optim. Calc. Var. 3, 49-81 (1998). Reviewer: P.Kraut (Egmating) MSC: 93B29 37J99 49N99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Zhitomirskiĭ, M. Rigid and abnormal line subdistributions of \(2\)-distributions. (English) Zbl 0970.53020 J. Dyn. Control Syst. 1, No. 2, 253-294 (1995). Reviewer: Lilia Del Riego (San Luis Potosí) MSC: 53C17 58A30 49K35 × Cite Format Result Cite Review PDF Full Text: DOI
Bryant, Robert L.; Hsu, Lucas Rigidity of integral curves of rank 2 distributions. (English) Zbl 0807.58007 Invent. Math. 114, No. 2, 435-461 (1993). Reviewer: A.D.Osborne (Keele) MSC: 58D99 58D10 58B99 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Henriques, Pedro Gonçalves Well-posed variational problem with mixed endpoint conditions. (English) Zbl 0794.49035 Differ. Geom. Appl. 3, No. 4, 373-393 (1993). MSC: 49Q05 58A15 × Cite Format Result Cite Review PDF Full Text: DOI
Montgomery, R. Isoholonomic problems and some applications. (English) Zbl 0703.53024 Commun. Math. Phys. 128, No. 3, 565-592 (1990). Reviewer: C.Bär MSC: 53C05 53C80 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Gift, S. J. G. Simple proof of the Lagrange multiplier rule for the fixed endpoint problem in the calculus of variations. (English) Zbl 0586.49006 J. Optimization Theory Appl. 52, 217-225 (1987). MSC: 49K15 49J15 34H05 × Cite Format Result Cite Review PDF Full Text: DOI
Papastavridis, John G. The principle of least action as a Lagrange variational problem: Stationarity and extremality conditions. (English) Zbl 0625.70013 Int. J. Eng. Sci. 24, 1437-1443 (1986). MSC: 70H03 49S05 × Cite Format Result Cite Review PDF Full Text: DOI
Ahlbrandt, Calvin D.; Hinton, Don B.; Lewis, Roger T. Transformations of second order ordinary and partial differential operators. (English) Zbl 0497.34012 Proc. R. Soc. Edinb., Sect. A 92, 31-49 (1982). MSC: 34A25 34A30 34L99 35G05 × Cite Format Result Cite Review PDF Full Text: DOI
Graves, L. M. Gilbert Ames Bliss. 1876-1951. (English) Zbl 0046.00204 Bull. Am. Math. Soc. 58, 251-264 (1952). × Cite Format Result Cite Review PDF Full Text: DOI
Bliss, G. A. Normality and abnormality in the calculus of variations. (English) Zbl 0019.12303 Trans. Am. Math. Soc. 43, 365-376 (1938). × Cite Format Result Cite Review PDF Full Text: DOI
Bliss, G. A. Normality and abnormality in the calculus of variations. (English) JFM 64.0510.01 Trans. Amer. math. Soc. 43, 365-376 (1938). Reviewer: Radon, J., Prof. (Breslau) × Cite Format Result Cite Review PDF Full Text: DOI
Hestenes, Magnus R. A direct sufficiency proof for the problem of Bolza in the calculus of variations. (English) Zbl 0017.26801 Trans. Am. Math. Soc. 42, 141-154 (1937). × Cite Format Result Cite Review PDF Full Text: DOI
Hestenes, M. R. A direct sufficiency proof for the problem of Bolza in the calculus of variations. (English) JFM 63.0484.02 Trans. Amer. math. Soc. 42, 141-154 (1937). Reviewer: Radon, J., Prof. (Breslau) × Cite Format Result Cite Review PDF Full Text: DOI
Hestenes, Magnus R. Sufficient conditions for the problem of Bolza in the calculus of variations. (English) Zbl 0010.30602 Trans. Am. Math. Soc. 36, 793-818 (1934). × Cite Format Result Cite Review PDF Full Text: DOI
von Schwarz, Josefa Das Delaunaysche Problem der Variationsrechnung in kanonischen Koordinaten. (German) Zbl 0010.06704 Math. Ann. 110, 357-389 (1934). MSC: 49-XX × Cite Format Result Cite Review PDF Full Text: DOI EuDML
v. Schwarz, J. Das Delaunaysche Problem der Variationsrechnung in kanonischen Koordinaten. (German) JFM 60.1152.01 Math. Ann. 110, 357-389 (1934). Reviewer: Radon, J., Prof. (Breslau) × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Hestenes, M. R. Sufficient conditions for the problem of Bolza in the calculus of variations. (English) JFM 60.0458.01 Transactions A. M. S. 36, 793-818 (1934). Reviewer: Radon, J., Prof. (Breslau) × Cite Format Result Cite Review PDF Full Text: DOI
Bliss, G. A.; Hestenes, M. R. Sufficient conditions for a problem of Mayer in the calculus of variations. (English) Zbl 0006.25903 Trans. Am. Math. Soc. 35, 305-326 (1933). × Cite Format Result Cite Review PDF Full Text: DOI
Bliss, G. A.; Hestenes, M. R. Sufficient conditions for a problem of Mayer in the calculus of variations. (English) JFM 59.0497.02 Transactions A. M. S. 35, 305-326 (1933). Reviewer: Hammerstein, A., Prof. (Kiel) × Cite Format Result Cite Review PDF Full Text: DOI