ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A CLASS OF NONLOCAL REACTION-DIFFUSION PROBLEMS WITH DISCRETE TIME DELAY

Abstract

The paper is concerned with the dynamical property of a class of nonlocal reaction-di®usion problem with discrete time delay. A comparison principle and the existence of time-dependent solution are proved. Theorems on the asymptotic behavior of time-dependent solution is given. An application to a di®usion logistic equation with nonlocal boundary condition and with discrete time delay is also given.