非线性三点边值问题解的一个新的存在定理(英文)

A New Theorem of Existence of Solutions to Nonlinear Three-Point Boundary Value Problem

中文关键词:  非线性三点边值问题  存在性  不动点

英文关键词:nonlinear three-point boundary value problem  existence  fixed point.

中文摘要:

      利用Krasnoselskii-Zabreiko不动点定理获得了非线性三点边值问题u″(t)+a(t)u′(t)+b(t)u(t)+h(t)f(u)=0,t∈(0,1) ; u(0)=0,u(1)=αu(η)解的一个新的存在定理.

英文摘要:

      A new theorem of existence of solutions for the nonlinear three-point boundary value problem u″(t)+a(t)u′(t)+b(t)u(t)+h(t)f(u)=0,t∈(0,1) ; u(0)=0,u(1)=αu(η) is obtained by using a fixed point theorem due to Krasnoselskii and Zabreiko.