Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem
This paper is concerned with the existence and nonexistence of positive solutions to the singular third-order m-point boundary value problem u′′′(t)+a(t)f(u(t))=0, 0<t<1, u(0)=u'(0)=0, u'(1)-∑i=1m-2αiu'(ξi)=λ, where ξi∈[0,1), αi∈[0,∞) (i=1,2,…,m-2) are constants, λ∈(0,1) is...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/567970 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556907539202048 |
|---|---|
| author | Shaolin Zhou Xiaoling Han |
| author_facet | Shaolin Zhou Xiaoling Han |
| author_sort | Shaolin Zhou |
| collection | DOAJ |
| description | This paper is concerned with the existence and nonexistence of positive solutions to the singular third-order m-point boundary value problem u′′′(t)+a(t)f(u(t))=0, 0<t<1, u(0)=u'(0)=0, u'(1)-∑i=1m-2αiu'(ξi)=λ, where ξi∈[0,1), αi∈[0,∞) (i=1,2,…,m-2) are constants, λ∈(0,1) is a parameter, f:[0,∞)→[0,∞) is continuous and a(·) is allowed to be singular at t=0 and t=1. The results here essentially extend and improve some known results. |
| format | Article |
| id | doaj-art-9c9c1e3174304e71af1abe22e2b4cac3 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-9c9c1e3174304e71af1abe22e2b4cac32025-02-03T05:44:13ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/567970567970Positive Solutions of a Singular Third-Order m-Point Boundary Value ProblemShaolin Zhou0Xiaoling Han1College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, ChinaCollege of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, ChinaThis paper is concerned with the existence and nonexistence of positive solutions to the singular third-order m-point boundary value problem u′′′(t)+a(t)f(u(t))=0, 0<t<1, u(0)=u'(0)=0, u'(1)-∑i=1m-2αiu'(ξi)=λ, where ξi∈[0,1), αi∈[0,∞) (i=1,2,…,m-2) are constants, λ∈(0,1) is a parameter, f:[0,∞)→[0,∞) is continuous and a(·) is allowed to be singular at t=0 and t=1. The results here essentially extend and improve some known results.http://dx.doi.org/10.1155/2013/567970 |
| spellingShingle | Shaolin Zhou Xiaoling Han Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem Journal of Function Spaces and Applications |
| title | Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem |
| title_full | Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem |
| title_fullStr | Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem |
| title_full_unstemmed | Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem |
| title_short | Positive Solutions of a Singular Third-Order m-Point Boundary Value Problem |
| title_sort | positive solutions of a singular third order m point boundary value problem |
| url | http://dx.doi.org/10.1155/2013/567970 |
| work_keys_str_mv | AT shaolinzhou positivesolutionsofasingularthirdordermpointboundaryvalueproblem AT xiaolinghan positivesolutionsofasingularthirdordermpointboundaryvalueproblem |