Differential-difference equations with incommensurable shifts of arguments

E. P. Ivanova<sup>ab

a</sup> Moscow Aviation Institute (National Research University)
^b Peoples' Friendship University of Russia, Moscow

Abstract: Boundary-value problems for differential-difference equations with perturbations in shifts of arguments are considered. Necessary and sufficient conditions for the fulfillment of Gårding-type inequalities in algebraic form are obtained. Continuous dependence of solutions of these problems on shifts of arguments is examined.

Keywords: boundary-value problem, differential-difference equation, strong ellipticity, Gårding inequality.

UDC: 517.9

MSC: 47G40

DOI: 10.36535/0233-6723-2021-191-92-100

 English version: Journal of Mathematical Sciences (New York), 2025, 288:6, 757–765