On the Mayer problem. I: General principles
Veronika Chrastinová, Václav Tryhuk (2002)
Mathematica Slovaca
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Veronika Chrastinová, Václav Tryhuk (2002)
Mathematica Slovaca
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Jan Chrastina (1987)
Archivum Mathematicum
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Jan Chrastina (2000)
Mathematica Bohemica
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The criteria of extremality for classical variational integrals depending on several functions of one independent variable and their derivatives of arbitrary orders for constrained, isoperimetrical, degenerate, degenerate constrained, and so on, cases are investigated by means of adapted Poincare-Cartan forms. Without ambitions on a noble generalizing theory, the main part of the article consists of simple illustrative examples within a somewhat naive point of view in order to obtain...