一类含参量拟线性微分系统正解的存在唯一性

doi:10.12677/PM.2022.124076

期刊菜单

一类含参量拟线性微分系统正解的存在唯一性
Existence and Uniqueness of Positive Solutions for a Class of Quasilinear Differential Systems with Parameters

DOI: 10.12677/PM.2022.124076, PDF, HTML, 下载: 340 浏览: 567 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: 微分系统；锥；正解；拟线性；Differential System； Cone； Positive Solution； Quasilinear

摘要: 本文利用不动点定理研究了一类含有两个参数的拟线性微分系统

正解的存在唯一性，其中p,q > 1, f,g:[0,1]×[0,+∞) ×[0,+∞)→[0,+∞)连续。对于任意固定的λ,µ>0,f,g满足规定的条件时，得到系统正解的存在唯一性。最后，举例说明结论的可行性。

Abstract: In this paper, by using a new fixed point theorem to study existence and uniqueness of positive solutions for a class of quasilinear differential systems with parameters

where f,g:[0,1]×[0,+∞) ×[0,+∞)→[0,+∞) are continuous, λ, and µ are positive parameters, we establish sufficient conditions for the existence and uniqueness of positive solutions to this system for any fixed λ,µ > 0. Finally, we give a simple example to illustrate our main result.

文章引用：杨阳. 一类含参量拟线性微分系统正解的存在唯一性[J]. 理论数学, 2022, 12(4): 665-674. https://doi.org/10.12677/PM.2022.124076

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