English

Existence and uniqueness of functional differential equations with n delay

Analysis of PDEs 2017-05-17 v1

Abstract

In this paper we give a necessary and suffcient conditions for the existence and uniqueness of periodic solutions of functional differential equations with n delay d dt x(t) = Ax(t) + n j=1 Bx(t -- r j) + f (t). The conditions are obtained in terms of R-boundedness of operator valued Fourier multipliers.

Keywords

Cite

@article{arxiv.1705.05576,
  title  = {Existence and uniqueness of functional differential equations with n delay},
  author = {Bahloul Rachid},
  journal= {arXiv preprint arXiv:1705.05576},
  year   = {2017}
}