Transversality Conditions for Infinite Horizon Variational Problems on Time Scales
arXiv:1003.3931 · doi:10.1007/s11590-010-0189-7
Abstract
We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.
Submitted 6-October-2009; Accepted 19-March-2010 in revised form; for publication in "Optimization Letters".
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Cited by in corpus (9)
- Generalized transversality conditions for the Hahn quantum variational calculus
- Optimality conditions for the calculus of variations with higher-order delta derivatives
- Generalizing the variational theory on time scales to include the delta indefinite integral
- A General Backwards Calculus of Variations via Duality
- Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
- Generalized Transversality Conditions in Fractional Calculus of Variations
- The Variational Calculus on Time Scales
- Delta-Nabla Optimal Control Problems
- Necessary optimality conditions for infinite horizon variational problems on time scales