Higher-order infinite horizon variational problems in discrete quantum calculus
arXiv:1112.0787 · doi:10.1016/j.camwa.2011.12.006
Abstract
We obtain necessary optimality conditions for higher-order infinite horizon problems of the calculus of variations via discrete quantum operators.
Submitted 11-May-2011; revised 16-Sept-2011; accepted 02-Dec-2011; for publication in Computers & Mathematics with Applications
References in corpus (3)
Cited by in corpus (8)
- Hahn's Symmetric Quantum Variational Calculus
- Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
- A survey on fractional variational calculus
- Necessary condition for an Euler-Lagrange equation on time scales
- Direct and Inverse Variational Problems on Time Scales: A Survey
- Necessary optimality conditions for infinite horizon variational problems on time scales
- Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems
- Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus