On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications

被引：9

作者：

Gallo, Angela ^{[1
]}

Piccirillo, Anna Maria ^{[2
]}

机构：

[1] R Caccioppoli Univ Naples Federico II, Dept Math & Applicat, I-80125 Naples, Italy

[2] Univ Naples 2, Dept Civil Engn, I-81100 Rome, Caserta, Italy

来源：

BOUNDARY VALUE PROBLEMS | 2009年

关键词：

IMPULSIVE DIFFERENTIAL-SYSTEMS; PERIODIC PROBLEMS; 1ST-ORDER; EQUATIONS; MOTION;

D O I：

10.1155/2009/808124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some new nonlinear integral inequalities Bellman-Bihari type 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. Copyright (C) 2009 A. Gallo and A. M. Piccirillo.

引用

页数：14

共 25 条

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