一类拟线性迭代方程递减解的存在唯一性
Existence and uniqueness of decreasing solutions for a class of quasi-linear iterative equations
郭换 1张万雄1
作者信息
- 1. ;重庆大学数学与统计学院,重庆 401331
- 折叠
摘要
本文研究了一类拟线性迭代方程递减解的存在性、唯一性和连续依赖性。首先,构造了一类递减函数及其相应度量,然后利用Schauder不动点定理和压缩映像原理得到了方程解的存在性和唯一性,最后讨论了方程解的连续依赖性并给出了实例。
Abstract
This paper investigates the existence, uniqueness, and continuous dependence of decreasing solutions for a class of quasi-linear iterative equations. Firstly, we construct a class of decreasing functions and the corresponding metric. Then, by applying Schauder's fixed point theorem and the contraction mapping principle, we establish the existence and uniqueness of solutions to the equation. Finally, we discuss the continuous dependence of the solutions and provide examples.关键词
拟线性迭代方程/Schauder不动点定理/压缩映像原理/解的存在唯一性Key words
Quasi-linear iterative equations/Schauder fixed point theorem/Contraction mapping principle/Existence and uniqueness of solutions引用本文复制引用
郭换,张万雄.一类拟线性迭代方程递减解的存在唯一性[EB/OL].(2026-06-26)[2026-06-28].http://www.paper.edu.cn/releasepaper/content/202606-72.学科分类
数学
