The Existence And Stability Of Solutions Of Two Kinds Of Differential Equations With Application Background

The research objects of this paper are the Clifford-valued shunting inhibitory cellular neural networks with D operator and a class of fractional-order Lasota-Wazewska red blood cell models.First,based on the contraction mapping principle,we obtain sufficient conditions for the existence and uniqueness of the ?-pseudo almost automorphic solution,and we investigate the global exponential stability of the solution by employing differential inequality techniques;then,by applying the fixed point theorem of decreasing operator on a normal cone,we obtain sufficient conditions for the existence of a unique almost periodic positive solution of a class of fractional-order Lasota-Wazewska red blood cell models,and we investigate the finite-time stability of the almost periodic positive solution by means of Gronwall inequality and some analysis techniques;besides,we give some examples to illustrate the validity of the results;finally,we give the conclusion of this paper.