Necessary optimality conditions for infinite horizon variational problems on time scales
arXiv:1212.0988 · doi:10.3934/naco.2013.3.145
Abstract
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.
This is a preprint of a paper whose final and definite form will be published in the March 2013 issue of Numerical Algebra, Control and Optimization (NACO). Manuscript submitted 18-Dec-2011; revised 24-Oct-2012; accepted for publication 05-Dec-2012