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Positive solutions of three-point boundary value problems for systems of nonlinear second order ordinary differential equations
Authors:Youming Zhou  Yan Xu
Institution:Department of Basic Science, Jiangsu Teachers University of Technology, Changzhou, Jinagsu 213015, PR China
Abstract:In this paper, we study the three-point boundary value problems for systems of nonlinear second order ordinary differential equations of the form
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Under some conditions, we show the existence and multiplicity of positive solutions of the above problem by applying the fixed point index theory in cones.
Keywords:Systems of ordinary differential equations  Three-point boundary value problem  The fixed point index  Positive solutions
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