Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects
The author considers the Neumann boundary value problem -y′′t+Myt=λωtft,yt, t∈J, t≠tk, -Δy′|t=tk = λIktk,ytk, k=1,2,…,m, y′(0)=y′(1)=0 and establishes the dependence results of the solution on the parameter λ, which cover equations without impulsive effects and are compared with some recent...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/968792 |
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| author | Xuemei Zhang |
| author_facet | Xuemei Zhang |
| author_sort | Xuemei Zhang |
| collection | DOAJ |
| description | The author considers the Neumann boundary value problem -y′′t+Myt=λωtft,yt, t∈J, t≠tk, -Δy′|t=tk = λIktk,ytk, k=1,2,…,m, y′(0)=y′(1)=0 and establishes the dependence results of the solution on the parameter λ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan. |
| format | Article |
| id | doaj-art-f311cc620016464db44ec7ea7b02e10a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f311cc620016464db44ec7ea7b02e10a2025-02-03T01:12:56ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/968792968792Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive EffectsXuemei Zhang0Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaThe author considers the Neumann boundary value problem -y′′t+Myt=λωtft,yt, t∈J, t≠tk, -Δy′|t=tk = λIktk,ytk, k=1,2,…,m, y′(0)=y′(1)=0 and establishes the dependence results of the solution on the parameter λ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.http://dx.doi.org/10.1155/2014/968792 |
| spellingShingle | Xuemei Zhang Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects Abstract and Applied Analysis |
| title | Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects |
| title_full | Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects |
| title_fullStr | Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects |
| title_full_unstemmed | Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects |
| title_short | Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects |
| title_sort | parameter dependence of positive solutions for second order singular neumann boundary value problems with impulsive effects |
| url | http://dx.doi.org/10.1155/2014/968792 |
| work_keys_str_mv | AT xuemeizhang parameterdependenceofpositivesolutionsforsecondordersingularneumannboundaryvalueproblemswithimpulsiveeffects |