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 3 条

[1] About some new generalizations of Bellman-Bihari results for integro-functional inequalities with discontinuous functions and applications
Gallo, Angela
Piccirillo, Anna Maria
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2276 - E2287
[2] On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications
Liu, Xiaohong
Zhang, Lihong
Agarwal, Praveen
Wang, Guotao
INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (01): : 1 - 10
[3] About new analogies of Gronwall-Bellman-Bihari type inequalities for discontinuous functions and estimated solutions for impulsive differential systems
Gallo, A.
Piccirillo, A. M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (05) : 1550 - 1559

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