Displaying similar documents to “Application of Chapligin's theorem to autonomous systems.”

Examples from the calculus of variations. IV. Concluding review

Jan Chrastina (2001)

Mathematica Bohemica

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Variational integrals containing several functions of one independent variable subjected moreover to an underdetermined system of ordinary differential equations (the Lagrange problem) are investigated within a survey of examples. More systematical discussion of two crucial examples from Part I with help of the methods of Parts II and III is performed not excluding certain instructive subcases to manifest the significant role of generalized Poincaré-Cartan forms without undetermined...