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

[1] On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
Angela Gallo
Anna Maria Piccirillo
Boundary Value Problems, 2009
[2] 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
[3] SOME GENERALIZATIONS OF BELLMAN-BIHARI INTEGRAL INEQUALITIES
DHONGADE, UD
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[4] About a generalization of Bellman-Bihari type inequalities for discontinuous functions and their applications
Mitropolskiy, Yu. A.
Iovane, G.
Borysenko, S. D.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (10) : 2140 - 2165
[5] Some new integral inequalities of Bellman-Bihari type with delay for discontinuous functions
Iovane, G.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) : 498 - 508
[6] SOME INTEGRAL INEQUALITIES SIMILAR TO BELLMAN-BIHARI INEQUALITIES
PACHPATTE, BG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 49 (03) : 794 - 802
[7] ON SOME NEW DISCRETE INEQUALITIES OF THE BELLMAN-BIHARI TYPE
EN, HY
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1983, 7 (11) : 1237 - 1246
[8] SUBMULTIPLICATIVE AND SUBADDITIVE FUNCTIONS AND INTEGRAL-INEQUALITIES OF BELLMAN-BIHARI TYPE
DANNAN, FM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (02) : 631 - 646
[9] 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
[10] On Gronwall-Bellman-Bihari type integral inequalities in several variables with retardation for discontinuous functions
Iovane, G.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (03): : 599 - 606

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