一类二阶非线性微分系统正解的存在唯一性
Existence and Uniqueness of Positive Solutions for a Class of Second-Order Nonlinear Differential Systems
DOI: 10.12677/PM.2021.116134, PDF, HTML, 下载: 314  浏览: 476  国家自然科学基金支持
作者: 杨 阳：西北师范大学数学与统计学院，甘肃 兰州
关键词: Lipschitz条件；压缩映像原理；正解；Leray-Schauder抉择；Lipschitz Condition； Contraction Mapping Principle； Positive Solution； Leray Schauder’s Alternative
摘要: 本文利用 Leray-Schauder 抉择和 Banach 压缩映像原理研究了二阶微分系统 正解的存在唯一性, 其中f,g : [0,1] × [0,+∞) × [0,+∞) → [0,+∞) 连续.
Abstract: In this paper, by using Leray-Schauder’s alternative and contraction mapping principle to study the positive solutions for a system of second-order boundary value problems where f,g : [0,1] × [0,+∞) × [0,+∞) → [0,+∞)  are continuous.
文章引用：杨阳. 一类二阶非线性微分系统正解的存在唯一性[J]. 理论数学, 2021, 11(6): 1211-1220. https://doi.org/10.12677/PM.2021.116134

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