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 Word: generalized Sturm-Liouville boundary value problems   second-order differential equations   positive solutions.  
Fund ProjectL: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
Author NameAffiliation
Jing Bao YANG Department of Sciences, Bozhou Teachers College, Anhui 233500, P. R. China 
Zhong Li WEI School of Sciences, Shandong Jianzhu University, Shandong 250101, P. R. China
School of Mathematics, Shandong University, Shandong 250100, P. R. China 
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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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