Lipschitz stability of differential equations with non-instantaneous impulses

Advances in Difference Equations

Radoslava Terzieva¹  Snezhana Hristova¹ 

[1] Department of Applied Mathematics, Plovdiv University, Plovdiv, Bulgaria

关键词: non-instantaneous impulses;    differential equations;    Lipschitz stability;    34A37;    34D20;   

DOI  :  10.1186/s13662-016-1045-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Nonlinear differential equations with non-instantaneous impulses are studied. The impulses start abruptly at some points and their actions continue on given finite intervals. We pursue the study of Lipschitz stability using Lyapunov functions. Some sufficient conditions for Lipschitz stability, uniform Lipschitz stability, and uniform global Lipschitz stability are obtained. Examples are given to illustrate the results.

【 授权许可】

CC BY