带变号格林函数的三阶三点差分方程边值问题的多解性(英文)
发布时间:2018-04-23 18:29
本文选题:离散的三阶三点边值问题 + 格林函数变号 ; 参考:《四川大学学报(自然科学版)》2017年01期
【摘要】:本文利用Leggett-Williams不动点定理得到了离散非线性三阶三点边值问题{Δ~3u(t-1)=f(t,u(t)),t∈[1,T-2]_Z,Δu(0)=u(T)=Δ~2(η)=0正解的存在性,这里T4是一个整数,f∈[1,T-2]_Z×[0,∞),[0,∞)是连续函数并且η满足:若T是奇数,则η∈[T-1/2,T-2]_Z;若T是偶数,则η∈[T-2/2,T-2]_Z.
[Abstract]:In this paper, by using the Leggett-Williams fixed point theorem, we obtain the existence of positive solutions for discrete nonlinear third-order three-point boundary value problems {螖 ~ (3u) ~ (t) ~ (?) ~ (?) ~ (?) ~ (?) t 鈭,
本文编号:1793109
本文链接:https://www.wllwen.com/kejilunwen/yysx/1793109.html