Nonlinear impulsive differential and integral inequalities with integral jump conditions

Advances in Difference Equations

Jing Shao¹  Fanwei Meng² 

[1] Department of Mathematics, Jining University, Qufu, P.R. China;School of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China

关键词: integral inequalities;    integral jump condition;    discontinuous function;    impulsive differential system;    34A37;    34A40;   

DOI  :  10.1186/s13662-016-0841-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Some new nonlinear impulsive differential inequalities and integral inequalities with integral jump conditions for discontinuous functions are established using the method of successive iteration. These jump conditions at a discontinuous point are related to the integral conditions of the past state, which can be used in the qualitative analysis of the solutions to certain nonlinear impulsive differential systems.

【 授权许可】

CC BY