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Optimality conditions for the calculus of variations with higher-order delta derivatives. (English) Zbl 1208.49020

Summary: We prove the Euler-Lagrange delta-differential equations for problems of the calculus of variations on arbitrary time scales with delta-integral functionals depending on higher-order delta derivatives.

MSC:

49K15 Optimality conditions for problems involving ordinary differential equations
34N05 Dynamic equations on time scales or measure chains
93C70 Time-scale analysis and singular perturbations in control/observation systems
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