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Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations
Authors:Ping Kang  Zhongli Wei
Affiliation:School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, People’s Republic of China
Abstract:In this paper, we consider the existence of at least three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations. The associated Green’s function for the boundary value problems is first given. The proofs of our main results are based upon the Leggett–Williams fixed point theorem. Finally, we give an example to demonstrate our result.
Keywords:34B15   39A10
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