Optimality conditions for the calculus of variations with higher-order delta derivatives

Details Optimality conditions for the calculus of variations with higher-order delta derivatives Optimality conditions for the calculus of variations with higher-order delta derivatives

2010-08-09

arxiv.org/abs/1008.1504v1

Appl. Math. Lett. 24 (2011), no. 1, 87--92

Mathematics

Optimization and Control

Submitted 26/Jul/2009; Revised 04/Aug/2010; Accepted 09/Aug/2010; for publication in "Applied Mathematics Letters"

Scientific paper

10.1016/j.aml.2010.08.023

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.

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