Necessary optimality conditions for infinite horizon variational problems on time scales

We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral t...

Full description

Bibliographic Details
Main Author: Dryl, M. (author)
Other Authors: Torres, D.F.M. (author)
Format: article
Language:eng
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/10773/11892
Country:Portugal
Oai:oai:ria.ua.pt:10773/11892
Description
Summary:We prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.