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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2009-01-01
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Series: | Boundary Value Problems |
Online Access: | http://www.boundaryvalueproblems.com/content/2009/808124 |
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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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