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On existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system |
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| Authors: | Jingbao Yang Zhongli Wei |
| Affiliation: | a Department of Sciences, Bozhou Teachers College, Bozhou, Anhui 233500, PR China b School of Sciences, Shandong Jianzhu University, Jinan, Shandong 250101, PR China c School of Mathematics, Shandong University, Jinan, Shandong 250100, PR China |
| Abstract: | By employing the fixed point theorem of cone expansion and compression of norm type, we investigate the existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular differential system. Some well-known results in the literature are generalized and improved. An example is presented to illustrate the application of our main result. |
| Keywords: | Sturm-Liouville boundary value problems Second-order differential systems Positive solutions |
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