重庆文理学院学报：自然科学版
重慶文理學院學報：自然科學版
중경문이학원학보：자연과학판
Journal of Chongqing University of Arts and Sciences
2011年
5期
19-21
,共3页
边值问题%正解%Leggett-Williams不动点理论
邊值問題%正解%Leggett-Williams不動點理論
변치문제%정해%Leggett-Williams불동점이론
boundary value problem%positive solution%Leggett-Williams fixed point theorem
研究了一类三阶边值问题,在边值问题不要求有上下解存在的情况下,应用单调迭代技术给出了边值问题存在正解的充分条件,且从简单的函数出发构建出函数序列,使它趋近于边值问题的正解.
研究瞭一類三階邊值問題,在邊值問題不要求有上下解存在的情況下,應用單調迭代技術給齣瞭邊值問題存在正解的充分條件,且從簡單的函數齣髮構建齣函數序列,使它趨近于邊值問題的正解.
연구료일류삼계변치문제,재변치문제불요구유상하해존재적정황하,응용단조질대기술급출료변치문제존재정해적충분조건,차종간단적함수출발구건출함수서렬,사타추근우변치문제적정해.
A kind of three order boundary value problem was studied.Without requiring the existence of lower and upper solutions,by applying monotone iterative techniques,not only the existence of positive solutions were obtained,but also iterative schemes for approximating the solutions were established.
