Optimality conditions for the calculus of variations with higher-order delta derivatives
arXiv:1008.1504 · doi:10.1016/j.aml.2010.08.023
Abstract
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.
Submitted 26/Jul/2009; Revised 04/Aug/2010; Accepted 09/Aug/2010; for publication in "Applied Mathematics Letters"
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Cited by in corpus (8)
- Generalized transversality conditions for the Hahn quantum variational calculus
- Differential, integral, and variational delta-embeddings of Lagrangian systems
- Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
- The Variational Calculus on Time Scales
- A Time-Scale Variational Approach to Inflation, Unemployment and Social Loss
- Necessary condition for an Euler-Lagrange equation on time scales
- Nondifferentiable variational principles in terms of a quantum operator
- Non shifted calculus of variations on time scales with Nabla-differentiable Sigma