数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2002年
2期
87-93
,共7页
存在定理%正解%共轭边值问题
存在定理%正解%共軛邊值問題
존재정리%정해%공액변치문제
existence theorem%positive solutions%conjugate boundary value problem
本文讨论了(k,n-k)共轭边值问题(-1)n-ku(h)(t)=λa(t)f(u(t)),t∈(0,1),u(i)(0)=0,0≤i≤k-1,u(j)(0)=0,0≤j≤n-k-1,的正解存在性,其中λ是一个正参数.应用Krasnoselsii's的不动点定理得到了正解存在准则.
本文討論瞭(k,n-k)共軛邊值問題(-1)n-ku(h)(t)=λa(t)f(u(t)),t∈(0,1),u(i)(0)=0,0≤i≤k-1,u(j)(0)=0,0≤j≤n-k-1,的正解存在性,其中λ是一箇正參數.應用Krasnoselsii's的不動點定理得到瞭正解存在準則.
본문토론료(k,n-k)공액변치문제(-1)n-ku(h)(t)=λa(t)f(u(t)),t∈(0,1),u(i)(0)=0,0≤i≤k-1,u(j)(0)=0,0≤j≤n-k-1,적정해존재성,기중λ시일개정삼수.응용Krasnoselsii's적불동점정리득도료정해존재준칙.
The present paper is concerned with the existence of positive solutions of the (k,n-k) conjugate boundary value problems(-1)n-ku(h)(t)=λa(t)f(u(t)),t∈(0,1),u(i)(0)=0,0≤i≤k-1,u(j)(0)=0,0≤j≤n-k-1,where λ is a positive parmeter. Krasnoselsii's fixed point theorem is employed to obtain the existence criteria for positive solution.
