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Existence of Positive Solutions for Boundary Value Problems on the Semi-infinite Interval 被引量:1

Existence of Positive Solutions for Boundary Value Problems on the Semi-infinite Interval
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摘要 In this paper, the authors study the existence of positive solution of the following BVP {1/p(t)(P(t)x′)′+f(t,x(t),p(t)x′(t))=0,o〈t〈+∞ αx(0)-βlimt→0p(t)x′(t)=0,γ limt→+∞x(t)+δlimt→+∞p(t)x′(t)=0 on the semi-infinite interval. By considering characterization of the nonlinearity, they obtain some new existence results.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第4期380-384,共5页 数学季刊(英文版)
基金 Supported by the Natural Scientific Fund of Zhejiang Province(Y604127) Supported by the Educational Scientific Fund of Zhejiang Province(20030594)
关键词 Sturm-Liouville boundary value problem positive solution fixed point 二阶微分方程 半无穷区间 边值问题 正解 存在性 固定点
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  • 1ZHAO Z. Positive solutions of nonlinear second order ordinary differential equation[J]. Proc Amer Math Soci, 1994, 121(2):465-469.
  • 2HABIB Maagli, SYRINE Masamoudi. Existence theorem of nonlinear singular boundary value problem[J].Nonlinear Anal, 2001, 46(4): 465-473.
  • 3AGARWAL P R, O'REGAN, WONG J Y. Positive Solutions of Differential, Difference and Integral Equations[M]. Singapore: Springer, 2000.
  • 4YAN Bao-qiang. Multiple unbounded solutions of boundary value problems for second-order differential equations on the half-line[J]. Nonlinear Anal, 2002, 51(6): 1031-1044.

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