Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance
In this article, we study the self-adjoint second-order boundary-value problem with integral boundary conditions, $$displaylines{ (p(t)x'(t))'+ f(t,x(t))=0,quad tin (0,1),cr p(0)x'(0)=p(1)x'(1),quad x(1)=int_0^1x(s)g(s)ds, }$$ which involves an integral boundary condition....
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Texas State University
2011-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/11/abstr.html |
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doaj-a4848e13034d4b15a3105d97f7f9a6a82020-11-25T01:00:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-01-01201111,18Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonanceAijun YangBo SunWeigao GeIn this article, we study the self-adjoint second-order boundary-value problem with integral boundary conditions, $$displaylines{ (p(t)x'(t))'+ f(t,x(t))=0,quad tin (0,1),cr p(0)x'(0)=p(1)x'(1),quad x(1)=int_0^1x(s)g(s)ds, }$$ which involves an integral boundary condition. We prove the existence of positive solutions using a new tool: the Leggett-Williams norm-type theorem for coincidences. http://ejde.math.txstate.edu/Volumes/2011/11/abstr.htmlBoundary value problemresonanceconepositive solutioncoincidence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aijun Yang Bo Sun Weigao Ge |
| spellingShingle |
Aijun Yang Bo Sun Weigao Ge Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance Electronic Journal of Differential Equations Boundary value problem resonance cone positive solution coincidence |
| author_facet |
Aijun Yang Bo Sun Weigao Ge |
| author_sort |
Aijun Yang |
| title |
Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| title_short |
Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| title_full |
Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| title_fullStr |
Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| title_full_unstemmed |
Existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| title_sort |
existence of positive solutions for self-adjoint boundary-value problems with integral boundary conditions at resonance |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2011-01-01 |
| description |
In this article, we study the self-adjoint second-order boundary-value problem with integral boundary conditions, $$displaylines{ (p(t)x'(t))'+ f(t,x(t))=0,quad tin (0,1),cr p(0)x'(0)=p(1)x'(1),quad x(1)=int_0^1x(s)g(s)ds, }$$ which involves an integral boundary condition. We prove the existence of positive solutions using a new tool: the Leggett-Williams norm-type theorem for coincidences. |
| topic |
Boundary value problem resonance cone positive solution coincidence |
| url |
http://ejde.math.txstate.edu/Volumes/2011/11/abstr.html |
| work_keys_str_mv |
AT aijunyang existenceofpositivesolutionsforselfadjointboundaryvalueproblemswithintegralboundaryconditionsatresonance AT bosun existenceofpositivesolutionsforselfadjointboundaryvalueproblemswithintegralboundaryconditionsatresonance AT weigaoge existenceofpositivesolutionsforselfadjointboundaryvalueproblemswithintegralboundaryconditionsatresonance |
| _version_ |
1725213226280419328 |