Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval

<p/> <p>The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the ex...

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Main Authors: Feng Meiqiang, Zhang Xuemei, Yang Xiaozhong
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2011/684542
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author Feng Meiqiang
Zhang Xuemei
Yang Xiaozhong
author_facet Feng Meiqiang
Zhang Xuemei
Yang Xiaozhong
author_sort Feng Meiqiang
collection DOAJ
description <p/> <p>The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary conditions with no impulsive effects or the boundary conditions with impulsive effects on a finite interval with a finite number of impulsive times, so our work is new. Meanwhile, an example is worked out to demonstrate the main results.</p>
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spelling doaj.art-1b6870903c2e4f048d0e186939123b082022-12-22T00:22:26ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-0120111684542Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite IntervalFeng MeiqiangZhang XuemeiYang Xiaozhong<p/> <p>The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary conditions with no impulsive effects or the boundary conditions with impulsive effects on a finite interval with a finite number of impulsive times, so our work is new. Meanwhile, an example is worked out to demonstrate the main results.</p>http://www.boundaryvalueproblems.com/content/2011/684542
spellingShingle Feng Meiqiang
Zhang Xuemei
Yang Xiaozhong
Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
Boundary Value Problems
title Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
title_full Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
title_fullStr Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
title_full_unstemmed Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
title_short Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
title_sort minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval
url http://www.boundaryvalueproblems.com/content/2011/684542
work_keys_str_mv AT fengmeiqiang minimalnonnegativesolutionofnonlinearimpulsivedifferentialequationsoninfiniteinterval
AT zhangxuemei minimalnonnegativesolutionofnonlinearimpulsivedifferentialequationsoninfiniteinterval
AT yangxiaozhong minimalnonnegativesolutionofnonlinearimpulsivedifferentialequationsoninfiniteinterval