摘要
利用锥上的不动点定理,研究了下列奇异非线性二阶三点边值方程组-u″=f(t,v),t∈(0,1)-v″=g(t,v),t∈(0,1)u′(0)=v′(0)=0,u(1)=αu(η),v(1)=αv(η)其中η∈(0,1),0<α<1,在某些较弱条件下正解的存在性。
[Abstract] In this paper, by using the fixed point method, we get the existence of positive solutions to the three-point boundary value problem for a second order differential equation system in some weak conditions -/μ^N=f(t,υ),t∈(O,1)-υ^=g(t,υ),t∈(0,1),μ^1(0)=υ'(0)=0,μ(1)=aμ(η),υ(1)=υ'(η) ∈(0,1),0〈υ〈1
出处
《廊坊师范学院学报(自然科学版)》
2011年第4期11-15,共5页
Journal of Langfang Normal University(Natural Science Edition)
关键词
正解
奇异
三点边值问题
锥
positive solution
singular
three-point boundary value problem
cone