English

Existence of solutions for dynamic inclusions on time scales via duality

Classical Analysis and ODEs 2012-07-23 v1

Abstract

The problem of existence of solutions to nabla differential equations and nabla differential inclusions on time scales is considered. Under a special form of the set-valued constraint map, sufficient conditions for the existence of at least one solution, that stay in the constraint set, are derived.

Keywords

Cite

@article{arxiv.1201.4495,
  title  = {Existence of solutions for dynamic inclusions on time scales via duality},
  author = {Ewa Girejko and Delfim F. M. Torres},
  journal= {arXiv preprint arXiv:1201.4495},
  year   = {2012}
}

Comments

Submitted 29-Aug-2011; revised 09-Jan-2012; accepted 21-Jan-2012; for publication in Applied Mathematics Letters