Affine-Periodic Solutions for Impulsive Differential Systems
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The affine-periodicity is a new periodic concept which has been founded in recent years. In this paper, we will discuss the existence of affine-periodic solutions for impulsive differential systems. Several existence theorems are proved for dissipative impulsive (functional) differential systems. Some applications are also given by combining Lyapunov’s methods.
KeywordsAffine-periodic solution Dissipative impulsive (functional) differential system Horn’s fixed point theorem Lyapunov’s method
Mathematics Subject Classification34C25 47H10
We greatfully acknowledge the invaluable guidance and advice of Prof. Yong Li(College of Mathematics, Jilin University) in preparing this manuscript. This work is supported by the National Basic Research Program of China (Grant Number 2013CB834100), the National Natural Science Foundation of China (Grant Numbers 11571065, 11171132, 11201173, 11901542) and the Fundamental Research Funds for the Central Universities (Grant Number CUC2019B038).
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Conflict of interest
The authors declare that they have no conflict of interest.