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.
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页码：1 / 10
页数：10
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