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Chrastina, Jan
Examples from the calculus of variations. II. A degenerate problem. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 187-197
MSC: 49-01, 49J10, 49K17, 49K27, 49N45, 58A10, 58E30 | MR 1768807 | Zbl 0968.49002 | DOI: 10.21136/MB.2000.125951
Keywords:
Poincaré-Cartan form; degenerate variational integral; realization problem
Summary:
Continuing the previous Part I, the degenerate first order variational integrals depending on two functions of one independent variable are investigated.
Related articles:
Examples from the calculus of variations. I. Nondegenerate problems
Examples from the calculus of variations. III. Legendre and Jacobi conditions
Examples from the calculus of variations. IV. Concluding review
References:
[1] José F. Cariñena: Theory of singular Lagrangians. International centre for theoretical physics, Miramare-Trieste, 1989. MR 1082418
[2] J. Chrastina: Examples from the calculus of variations I. Nondegenerate problems. Math.Bohem. 125 (2000), 55-76. MR 1752079 | Zbl 0968.49001
[3] R. Gabasov F. M. Kirillova: Singular Optimal Control. Moskva, 1973. (In Russian.) MR 0451117
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