POSITIVE SOLUTIONS TO SECOND-ORDER SINGULAR NEUMANN BOUNDARY VALUE PROBLEM WITH PARAMETERS IN THE BOUNDARY CONDITIONS

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作者：

Zhilong Li School of Informational Management Jiangxi University of Finance and Economics Nanchang ^{[330013
]}

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来源：

Annals of Differential Equations | 2009年 / 25卷 / 04期

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中图分类号：

O175.8 [边值问题];

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摘要：

In this paper, we consider a class of nonlinear second-order singular Neumann boundary value problem with parameters in the boundary conditions. By the fixed point index, spectral theory of the linear operators, and lower and upper solutions method, we prove that there exists a constant λ* > 0 such that for λ∈ (0, λ * ), NBVP has at least two positive solutions; for λ = λ* , NBVP has at least one positive solution; for λ > λ* , NBVP has no solution.

引用

页码：407 / 413

页数：7

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