Examples from the calculus of variations. II. A degenerate problem
Mathematica Bohemica, Tome 125 (2000) no. 2, pp. 187-197
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Continuing the previous Part I, the degenerate first order variational integrals depending on two functions of one independent variable are investigated.
Continuing the previous Part I, the degenerate first order variational integrals depending on two functions of one independent variable are investigated.
DOI :
10.21136/MB.2000.125951
Classification :
49-01, 49J10, 49K17, 49K27, 49N45, 58A10, 58E30
Keywords: Poincaré-Cartan form; degenerate variational integral; realization problem
Keywords: Poincaré-Cartan form; degenerate variational integral; realization problem
Chrastina, Jan. Examples from the calculus of variations. II. A degenerate problem. Mathematica Bohemica, Tome 125 (2000) no. 2, pp. 187-197. doi: 10.21136/MB.2000.125951
@article{10_21136_MB_2000_125951,
author = {Chrastina, Jan},
title = {Examples from the calculus of variations. {II.} {A} degenerate problem},
journal = {Mathematica Bohemica},
pages = {187--197},
year = {2000},
volume = {125},
number = {2},
doi = {10.21136/MB.2000.125951},
mrnumber = {1768807},
zbl = {0968.49002},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.125951/}
}
TY - JOUR AU - Chrastina, Jan TI - Examples from the calculus of variations. II. A degenerate problem JO - Mathematica Bohemica PY - 2000 SP - 187 EP - 197 VL - 125 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.125951/ DO - 10.21136/MB.2000.125951 LA - en ID - 10_21136_MB_2000_125951 ER -
[1] José F. Cariñena: Theory of singular Lagrangians. International centre for theoretical physics, Miramare-Trieste, 1989. | MR
[2] J. Chrastina: Examples from the calculus of variations I. Nondegenerate problems. Math.Bohem. 125 (2000), 55-76. | MR | Zbl
[3] R. Gabasov F. M. Kirillova: Singular Optimal Control. Moskva, 1973. (In Russian.) | MR
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