Asymptotic Behavior For Some Kinds Of Functional Differential Equations

In this thesis, we investigate the problem on the asymptotic behavior forsome kinds of functional differential equations. It consists of three chapters.In the first chapter, we study one kind of shunting inhibitory cellular neuralnetworks with mixed delays and time-varying coefficients:We establish a new theorem which ensure that all solutions of SICNNs to convergeexponentially to zero. Our theorem improves some known results and allow formore general activation functions.In the second chapter, we discuss the following nonlinear equations with p-Laplacian-like operatorsSome criteria to guarantee the existence and uniqueness of periodic solutions ofthe above equation is given by using Mawhin's continuation theorem. Our resultsare new and extend some recent results in the literature.In the third chapter, we investigate a class of Liénard equationsUnder some suitable conditions, a new theorem is established to ensure that allsolutions of the above Liénard equations are uniformly bounded. Our resultsweaken some restrictive conditions used in some recent results, and thus extendsome recent results.