Global Attractors For A Class Of Nonlinear Integro-differential Equations

With memory term nonlinear integro-differential equations are hot topics for partial differential equations,and it have been attached highly importance to many scholars at home and abroad.In this paper,initial boundary value problems of a class of nonlinear integro-differential equations are discussed with damping term and memory term.The concrete forms are as follows:There are five chapters in this thesis:In the first chapter,we introduce the physical background,situation and main content of nonlinear integro-differential equations.In the second chapter,we give relative concept,important lemma and basic hypothesis.In the third chapter,we prove the existence,regularity and uniqueness of global solutions for integro-differential equations.In the fourth chapter,we prove the existence of global attractors.In the fifth chapter,we summarize all the paper and bring out some expectations.