Higher-Order Calculus of Variations on Time Scales
arXiv:0706.3141 · doi:10.1007/978-3-540-69532-5_9
Abstract
We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.
Corrected minor typos
Cited by in corpus (36)
- Discrete-Time Fractional Variational Problems
- Noether's Theorem on Time Scales
- Calculus of Variations on Time Scales with Nabla Derivatives
- Transversality Conditions for Infinite Horizon Variational Problems on Time Scales
- Fractional variational problems depending on indefinite integrals
- Isoperimetric problems on time scales with nabla derivatives
- The Second Euler-Lagrange Equation of Variational Calculus on Time Scales
- Noether's symmetry theorem for nabla problems of the calculus of variations
- Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales
- Higher-order Hahn's quantum variational calculus
- Generalized transversality conditions for the Hahn quantum variational calculus
- Natural Boundary Conditions in the Calculus of Variations
- Strong Minimizers of the Calculus of Variations on Time Scales and the Weierstrass Condition
- Time scales: from Nabla calculus to Delta calculus and vice versa via duality
- Optimality conditions for the calculus of variations with higher-order delta derivatives
- Integral Inequalities and their Applications to the Calculus of Variations on Time Scales
- Necessary and sufficient conditions for local Pareto optimality on time scales
- Remarks on the calculus of variations on time scales
- A General Backwards Calculus of Variations via Duality
- Existence of solutions for dynamic inclusions on time scales via duality
- Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
- A non-classical class of variational problems
- The contingent epiderivative and the calculus of variations on time scales
- The Variational Calculus on Time Scales
- Delta-Nabla Optimal Control Problems
- Fractional Calculus on Time Scales
- Isoperimetric Problems of the Calculus of Variations on Time Scales
- Necessary conditions for linear noncooperative N-player delta differential games on time scales
- Diamond-alpha Integral Inequalities on Time Scales
- Backward Linear Control Systems on Time Scales
- Variational Optimal-Control Problems with Delayed Arguments on Time Scales
- Delta-Nabla Isoperimetric Problems
- A unified approach to the calculus of variations on time scales
- Optimal sampled-data control, and generalizations on time scales
- Time Scales and Mathematica
- Non shifted calculus of variations on time scales with Nabla-differentiable Sigma