乐山师范学院学报
樂山師範學院學報
악산사범학원학보
JOURNAL OF LESHAN TEACHERS COLLEGE
2014年
5期
5-7,47
,共4页
正解%分数阶边值问题%广义的凹算子%不动点%存在唯一性
正解%分數階邊值問題%廣義的凹算子%不動點%存在唯一性
정해%분수계변치문제%엄의적요산자%불동점%존재유일성
Positive Solution%Fractional Boundary Value Problem%Generalized Concave Operators%Fixed Point%Existence and Uniqueness
研究了一类非线性分数阶两点边值问题。利用广义的凹算子的不动点定理和格林函数的性质及在给定的条件下，获得了此边值问题正解的存在唯一性，并构造一迭代序列去逼近它。完善和推广了正解的存在性结果。
研究瞭一類非線性分數階兩點邊值問題。利用廣義的凹算子的不動點定理和格林函數的性質及在給定的條件下，穫得瞭此邊值問題正解的存在唯一性，併構造一迭代序列去逼近它。完善和推廣瞭正解的存在性結果。
연구료일류비선성분수계량점변치문제。이용엄의적요산자적불동점정리화격림함수적성질급재급정적조건하，획득료차변치문제정해적존재유일성，병구조일질대서렬거핍근타。완선화추엄료정해적존재성결과。
This paper studied a class of the nonlinear fractional two points boundary value problem. By means of the fixed point theorems of generalized concave operators and the properties of the Green function, the existence and uniqueness of its positive solutions were obtained under given conditions, and an iterative scheme was constructed to approximate it. The results inprove and popularize the existing theory of existence of positive solution.
