The First Boundary Value Problem for Quasilinear Parabolic Differential-Difference Equations

Abstract: We consider the first boundary value problem for quasilinear parabolic differential–difference equations. The uniqueness and existence of generalized solutions are proved. The proofs are based on the theory of linear differential–difference equations and the theory of monotone (pseudomonotone) operators. © 2021, Pleiades Publishing, Ltd.