Model Example for Study Smoothness of Solutions of Boundary-Value Problems for Differential-Difference Equations

Abstract: The purpose of this article is to demonstrate with a simple example the complexities that arise when considering boundary-value problems for differential-difference equations. In this paper we discuss in detail smoothness issues of solutions to the Dirichlet problem for linear differential-difference equation with integer shifts. After analysis of this example we consider more general statement of the problem and certain results concerning the solvability and smoothness of solutions. © 2021, Pleiades Publishing, Ltd.

Authors
Publisher
Pleiades Publishing
Number of issue
5
Language
English
Pages
967-973
Status
Published
Volume
42
Year
2021
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Keywords
boundary-value problems; differential-difference equations; generalized solution; smoothness
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