非线性三阶周期边值问题的正解

摘要/Abstract

摘要：

考察了非线性三阶周期边值问题的正解. 在适当的变换下此问题被转化为一个积分方程. 利用锥上的Guo-Lakshmikantham 不动点指数定理建立了单个或多重正解的存在性.

Abstract:

The positive solutions for a nonlinear third-order periodic boundary value problem are considered. By making use of a suitable transformation the problem is transfered into an integral equation. By applying the Guo-Lakshmikantham fixed point index theorem on cone, the existence of single or multiple positive solutions is established.

Key words: Periodic boundary value problem, Positive solution, Existence, Multiplicity

中图分类号:

34B16

姚庆六. 非线性三阶周期边值问题的正解[J]. 数学物理学报, 2010, 30(6): 1495-1502.

YAO Qiang-Liu. Positive Solutions of Nonlinear Third-order Periodic Boundary Value Problems[J]. Acta mathematica scientia,Series A, 2010, 30(6): 1495-1502.

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