Existence of positive stationary solutions for a reaction-diffusion system

被引：2

作者：

Wang, Fanglei ^{[1
]}

Wang, Yunhai ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Guizhou Inst Technol, Coll Mech Engn, Guiyang 550003, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

reaction-diffusion system; stationary solutions; fixed point theorem;

D O I：

10.1186/s13661-015-0511-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will establish some existence results of positive stationary solutions for a reaction-diffusion system {U '' + lambda u=p(t)phi u + h(t)f(u, phi), 0 < t < 1, -phi ''= q(t)u(alpha), 0 < t < 1, u(0) = u(1) = 0, phi(0) = phi(1) = 0. The main method used here is the well-known fixed point theorem of cone expansion and compression.

引用

页码：1 / 10

页数：10

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