帶變號格林函數(shù)的三階三點差分方程邊值問題的多解性(英文)
發(fā)布時間:2018-04-23 18:29
本文選題:離散的三階三點邊值問題 + 格林函數(shù)變號 ; 參考:《四川大學(xué)學(xué)報(自然科學(xué)版)》2017年01期
【摘要】:本文利用Leggett-Williams不動點定理得到了離散非線性三階三點邊值問題{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,這里T4是一個整數(shù),f∈[1,T-2]_Z×[0,∞),[0,∞)是連續(xù)函數(shù)并且η滿足:若T是奇數(shù),則η∈[T-1/2,T-2]_Z;若T是偶數(shù),則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,
本文編號:1793109
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