About some new generalizations of Bellman–Bihari results for integro-functional inequalities with discontinuous functions and applications
详细信息 查看全文
- 作者：Angela Gallo ; Anna Maria Piccirillo
- 关键词：Integral inequalities ; Discontinuous functions ; Estimates ; Impulsive differential systems
- 刊名：Nonlinear Analysis
- 出版年：2009
- 出版时间：15 December 2009
- 年：2009
- 卷：71
- 期：12
- 页码：e2276-e2287
- 全文大小：355 K
文摘
In this article we present some new nonlinear Bellman–Bihari type integral inequalities with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are included: conditions of boundedness (uniformly), stability by Lyapunov (uniformly), practical stability by Chetaev (uniformly) for the solutions of impulsive differential and integro-differential systems of ordinary differential equations.