文献类型：期刊文献

英文题名：Existence of positive stationary solutions for a reaction-diffusion system

作者：Wang, Fanglei Wang, Yunhai

第一作者：Wang, Fanglei

通信作者：Wang, FL[1]

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

第一机构：Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

通信机构：corresponding author), Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China.

年份：2016

卷号：2016

期号：1

起止页码：1-10

外文期刊名：BOUNDARY VALUE PROBLEMS

收录：;Scopus(收录号：2-s2.0-84954477290);WOS:【SCI-EXPANDED(收录号:WOS:000391450700002)】；

基金：The first author is supported by NSF of China (No. 11501165), NSF of Jiangsu Province (No. BK20130825), the Fundamental Research Funds for the Central Universities. The second author is supported by Joint fund project of science and Technology Department of Guizhou Province, No. [2014]7366.

语种：英文

外文关键词：reaction-diffusion system; stationary solutions; fixed point theorem

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.