曲阜师范大学学报（自然科学版）
麯阜師範大學學報（自然科學版）
곡부사범대학학보（자연과학판）
JOURNAL OF QUFU NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
2007年
3期
43-47
,共5页
Banach空间%正解%不动点%四点边值问题
Banach空間%正解%不動點%四點邊值問題
Banach공간%정해%불동점%사점변치문제
Banach space%positive solution%fixed point%four-point boundary value problem
使用严格集压缩算子不动点定理,研究了Banach空间中一类非线性四点边值问题y"(t)+a(t)f(y(t))=θ,0＜t＜1,y'(0)=μ y'(ξ),y(1)=βy(η),至少有一个正解或者两个正解的存在性.并给出了例子用来描述本文的结果.
使用嚴格集壓縮算子不動點定理,研究瞭Banach空間中一類非線性四點邊值問題y"(t)+a(t)f(y(t))=θ,0＜t＜1,y'(0)=μ y'(ξ),y(1)=βy(η),至少有一箇正解或者兩箇正解的存在性.併給齣瞭例子用來描述本文的結果.
사용엄격집압축산자불동점정리,연구료Banach공간중일류비선성사점변치문제y"(t)+a(t)f(y(t))=θ,0＜t＜1,y'(0)=μ y'(ξ),y(1)=βy(η),지소유일개정해혹자량개정해적존재성.병급출료례자용래묘술본문적결과.
In this paper, by using the fixed points of strict-set-contractions, we study the existence of at least one or two positive solutions to the four-point boundary value problem y"(t)+a(t)f(y(t))=θ, 0＜t＜1, y'(0)=μ y'(ξ), y(1)=β y(η), in Banach space E, where θ is zero element of E, 0＜ξ, η＜1, 0＜μ＜1 and 0＜β＜1. As an application, we also give one example to demonstrate our results.
