Anti-periodic Solutions Of Two Kinds Of Quaternion-valued Differential Equations

In this thesis,a class of quaternion-valued inertial neural networks with time-varying delays and a class of quaternion-valued delay Duffing equations were studied.By coincide degree theory,we can obtain the existence of anti-periodic solutions for inertial neural networks with time-varying delays and quaternion-valued delay Duffing equations;and using Lyapunov methods to establish the global exponential stability of inertial neural networks with time-varying delays;In the second chapter,we considered the existence and the global exponential stability of anti-periodic solutions for inertial neural networks with time-varying delays;in the third chapter,we considered quaternion-valued delay Duffing equations;We presented an example to illustrate the feasibility and effectiveness of main results,respectively.