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

关 键 词:(k  n  k)  boundary  value  problem  positive  solution  Schauder  fixedpoint  theorem

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