Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems
We investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1014250 |
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| _version_ | 1832555993861455872 |
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| author | Hongyu Li Junting Zhang |
| author_facet | Hongyu Li Junting Zhang |
| author_sort | Hongyu Li |
| collection | DOAJ |
| description | We investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameter λ by using global bifurcation method. We also obtain the infinite interval of parameter λ about the existence of positive solution. |
| format | Article |
| id | doaj-art-6eb0702b44e24ff3904ccdb44eaf667d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6eb0702b44e24ff3904ccdb44eaf667d2025-02-03T05:46:43ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/10142501014250Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value ProblemsHongyu Li0Junting Zhang1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaWe investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameter λ by using global bifurcation method. We also obtain the infinite interval of parameter λ about the existence of positive solution.http://dx.doi.org/10.1155/2017/1014250 |
| spellingShingle | Hongyu Li Junting Zhang Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems Journal of Function Spaces |
| title | Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems |
| title_full | Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems |
| title_fullStr | Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems |
| title_full_unstemmed | Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems |
| title_short | Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems |
| title_sort | global structure of positive solutions for some second order multipoint boundary value problems |
| url | http://dx.doi.org/10.1155/2017/1014250 |
| work_keys_str_mv | AT hongyuli globalstructureofpositivesolutionsforsomesecondordermultipointboundaryvalueproblems AT juntingzhang globalstructureofpositivesolutionsforsomesecondordermultipointboundaryvalueproblems |