Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

Abstract

In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions. The main feature of the equations under consideration is that the difference operator is located in the principal part of the nonlinear operator containing higher-order derivatives.