POSITIVE SOLUTIONS TO(k,n-k) NONHOMOGENEOUS BOUNDARYVALUE PROBLEM

POSITIVE SOLUTIONS TO(k,n-k) NONHOMOGENEOUS BOUNDARYVALUE PROBLEM

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摘要 By the Schauder fixed point theory,this paper establishes the existence of positive solutions to a(k,n k) m-point boundary value problem.We show that there exists a positive constant b such that the problem has at least one positive solution when the homogeneous boundary parameter is smaller than b,and no positive solution when this parameter is greater than b. By the Schauder fixed point theory,this paper establishes the existence of positive solutions to a(k,n k) m-point boundary value problem.We show that there exists a positive constant b such that the problem has at least one positive solution when the homogeneous boundary parameter is smaller than b,and no positive solution when this parameter is greater than b.

作者 Weihua Jiang,Zhihong Chen(College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,Linu Zhou(College of Math.and Information Science,Hebei Normal University,Shijiazhuang 050018)

出处《Annals of Differential Equations》 2012年第3期269-275,共7页 微分方程年刊（英文版）

关键词 (k n k) boundary value problem positive solution Schauder fixedpoint theorem (k,n k) boundary value problem positive solution Schauder fixedpoint theorem

分类号 O175.8 [理学—基础数学]

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共引文献18

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Annals of Differential Equations

2012年第3期

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POSITIVE SOLUTIONS TO(k,n-k) NONHOMOGENEOUS BOUNDARYVALUE PROBLEM

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共引文献18

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