The contingent epiderivative and the calculus of variations on time scales
The calculus of variations on time scales is considered. We propose a new approach to the subject that consists of applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: i...
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| Outros Autores: | , |
| Formato: | article |
| Idioma: | eng |
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| Texto completo: | http://hdl.handle.net/10773/11798 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/11798 |
| Resumo: | The calculus of variations on time scales is considered. We propose a new approach to the subject that consists of applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: it allows to unify the delta and nabla approaches previously considered in the literature. Generalized versions of the Euler-Lagrange necessary optimality conditions are obtained, both for the basic problem of the calculus of variations and isoperimetric problems. As particular cases one gets the recent delta and nabla results. © 2012 Taylor and Francis Group, LLC. |
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