POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS

• 作者: Li Dong Li Xu Ma Manjun
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 非线性泛函微分方程 正解 特征值 固定点理论 存在性
• 年，卷（期）: 2005,（4）
• 页码范围: 580-586
• 页数: 7页
• 分类号: O175

摘要

<正>In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth.