Title | ||
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Symmetric positive solutions of boundary value problems with integral boundary conditions. |
Abstract | ||
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Under conditions weaker than those used by Ma, we establish various results on the existence and nonexistence of symmetric positive solutions to fourth-order boundary value problems with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed point theory in a cone. Our results improve and extend that obtained in [H. Ma, Symmetric positive solutions for nonlocal boundary value problems of fourth order, Nonlinear Anal. 68 (2008) 645–651]. We illustrate our results by one example, which cannot be handled using the existing results. |
Year | DOI | Venue |
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2012 | 10.1016/j.amc.2012.09.037 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Boundary value problem,Integral boundary conditions,Symmetric positive solution,Fixed point theorem,Existence | Boundary value problem,Robin boundary condition,Mathematical optimization,Nonlinear system,Mathematical analysis,Free boundary problem,Singular boundary method,Neumann boundary condition,Mathematics,Fixed-point theorem,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
219 | 8 | 0096-3003 |
Citations | PageRank | References |
1 | 0.63 | 14 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xuemei Zhang | 1 | 1 | 1.30 |
Weigao Ge | 2 | 158 | 46.20 |