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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2011-01-01
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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> |
first_indexed | 2024-12-12T13:57:13Z |
format | Article |
id | doaj.art-1b6870903c2e4f048d0e186939123b08 |
institution | Directory Open Access Journal |
issn | 1687-2762 1687-2770 |
language | English |
last_indexed | 2024-12-12T13:57:13Z |
publishDate | 2011-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Boundary Value Problems |
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 |