About some new generalizations of Bellman-Bihari results for integro-functional inequalities with discontinuous functions and applications

被引：15

作者：

Gallo, Angela ^{[1
]}

Piccirillo, Anna Maria ^{[2
]}

机构：

[1] Univ Naples Federico 2, Dept Math & Applicat R Caccioppoli, I-80125 Naples, Italy

[2] Univ Naples 2, Dept Civil Engn, I-81031 Aversa, CE, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Integral inequalities; Discontinuous functions; Estimates; Impulsive differential systems; IMPULSIVE DIFFERENTIAL-SYSTEMS; SEVERAL-VARIABLES; STABILITY; MOTION;

D O I：

10.1016/j.na.2009.05.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E2276 / E2287

页数：12

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