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

<p/> <p>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 (u...

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Main Authors: Piccirillo AnnaMaria, Gallo Angela
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2009/808124
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spelling doaj-b0c35f010df743208600af771df075e72020-11-25T01:48:13ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-0120091808124On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their ApplicationsPiccirillo AnnaMariaGallo Angela<p/> <p>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.</p>http://www.boundaryvalueproblems.com/content/2009/808124
collection DOAJ
language English
format Article
sources DOAJ
author Piccirillo AnnaMaria
Gallo Angela
spellingShingle Piccirillo AnnaMaria
Gallo Angela
On Some Generalizations Bellman-Bihari Result for Integro-Functional Inequalities for Discontinuous Functions and Their Applications
Boundary Value Problems
author_facet Piccirillo AnnaMaria
Gallo Angela
author_sort Piccirillo AnnaMaria
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 <p/> <p>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.</p>
url http://www.boundaryvalueproblems.com/content/2009/808124
work_keys_str_mv AT piccirilloannamaria onsomegeneralizationsbellmanbihariresultforintegrofunctionalinequalitiesfordiscontinuousfunctionsandtheirapplications
AT galloangela onsomegeneralizationsbellmanbihariresultforintegrofunctionalinequalitiesfordiscontinuousfunctionsandtheirapplications
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