English

Solvability of the boundary value problem for some differential--difference equations

Classical Analysis and ODEs 2014-04-17 v1

Abstract

Solvability and smoothness of generalized solutions to boundary value problems for not self-adjoint differential-difference equations are studied. Necessary and sufficient conditions of Fredholmian solvability (with index zero) are established. Smoothness of generalized solutions is considered in terms of index of the corresponding differential--difference operator.

Keywords

Cite

@article{arxiv.1404.4192,
  title  = {Solvability of the boundary value problem for some differential--difference equations},
  author = {Pavel Gurevich},
  journal= {arXiv preprint arXiv:1404.4192},
  year   = {2014}
}

Comments

12 pages

R2 v1 2026-06-22T03:52:06.599Z