| Existence of Positive Solutions of Generalized Sturm-Liouville Boundary Value Problems for a Singular Differential Equation |
| Received:November 22, 2009 Revised:May 28, 2010 |
| Key Words:
generalized Sturm-Liouville boundary value problems second-order differential equations positive solutions.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10971046), the Natural Science Research Project of Anhui Province (Grant No.KJ2009B093), the Natural Science Foundation of Shandong Province (Grant No.ZR2009AM004) and the Research Pr |
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| Abstract: |
| By employing the fixed point theorem of cone expansion and compression of norm type, we investigate the existence of positive solutions of generalized Sturm-Liouville boundary value problems for a nonlinear singular differential equation with a parameter. Some sufficient conditions for the existence of positive solutions are established. In the last section, an example is presented to illustrate the applications of our main results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.05.005 |
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