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葛渭高

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期刊论文

Triple Solutions for Second-Order Three-Point Boundary Value Problems1

葛渭高Xiaoming He and Weigao Ge

Journal of Mathematical Analysis and Applications 268, 256-265(2002),-0001,():

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摘要/描述

We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u''+f(t,u)=0, u(0)=0, αu(η)=u(1), whereη: 0<η<1, 0<α<1/η, and f: [0, 1]× [0,∞)→[0, ∞) is continuous. We accomplish this by making growth assumptions on f which can apply to many more cases than the sublinear and superlinear ones discussed in recent works.

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