POSITIVE SOLUTIONS TO(k,n-k) NONHOMOGENEOUS BOUNDARYVALUE PROBLEM |
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| Affiliation: | 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) |
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| Abstract: | 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. |
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| Keywords: | (k,n k) boundary value problem positive solution Schauder fixedpoint theorem |
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