Exponential stability for differential equations with random impulses at random times

Advances in Difference Equations

Ravi Agarwal¹  Snezhana Hristova²  Donal ORegan³ 

[1] Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA;Plovdiv University, Plovdiv, Bulgaria;School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

关键词: impulsive differential equations;    random moments of impulses;    p-moment exponential stability;   

DOI  :  10.1186/1687-1847-2013-372

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Impulsive differential equations with impulses occurring at random times arise in the modeling of real world phenomena in which the state of the investigated process changes instantaneously at uncertain moments. The investigation of these differential equations uses ideas in the qualitative theory of differential equations and probability theory. In this paper differential equations with randomly occurring impulses are considered and the p-moment exponential stability of the solutions is studied. MSC:34A37, 34E05.

【 授权许可】

CC BY