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arXiv · 1211.4368

The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales

Monika Dryl·Delfim F. M. Torres
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Abstract

We develop the calculus of variations on time scales for a functional that is the composition of a certain scalar function with the delta and nabla integrals of a vector valued field. Euler-Lagrange equations, transversality conditions, and necessary optimality conditions for isoperimetric problems, on an arbitrary time scale, are proved. Interesting corollaries and examples are presented.

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Monika Dryl, Delfim F. M. Torres. 2012-11-19. The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales. https://arxiv.org/abs/1211.4368

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