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

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

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...

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Main Authors: Angela Gallo, Anna Maria Piccirillo
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2009/808124
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spelling doaj-c3d9e98c322b416383554a613359c6922020-11-24T22:21:03ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/808124On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their ApplicationsAngela GalloAnna Maria PiccirilloWe 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. http://dx.doi.org/10.1155/2009/808124
collection DOAJ
language English
format Article
sources DOAJ
author Angela Gallo
Anna Maria Piccirillo
spellingShingle Angela Gallo
Anna Maria Piccirillo
On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
Boundary Value Problems
author_facet Angela Gallo
Anna Maria Piccirillo
author_sort Angela Gallo
title On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
title_short On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
title_full On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
title_fullStr On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
title_full_unstemmed On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
title_sort on some generalizations bellman-bihari result for integro-functional inequalities for discontinuous functions and their applications
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2009-01-01
description 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.
url http://dx.doi.org/10.1155/2009/808124
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AT annamariapiccirillo onsomegeneralizationsbellmanbihariresultforintegrofunctionalinequalitiesfordiscontinuousfunctionsandtheirapplications
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