湘南学院学报
湘南學院學報
상남학원학보
JOURNAL OF XIANGNAN UNIVERSITY
2014年
5期
119-125
,共7页
蒋园园%彭明华%邓显倡%王珍%王金华(指导老师)%向红军(指导老师)
蔣園園%彭明華%鄧顯倡%王珍%王金華(指導老師)%嚮紅軍(指導老師)
장완완%팽명화%산현창%왕진%왕금화(지도로사)%향홍군(지도로사)
P-Laplacian方程%边值问题%正解%Krasnoselskii不动点定理%锥
P-Laplacian方程%邊值問題%正解%Krasnoselskii不動點定理%錐
P-Laplacian방정%변치문제%정해%Krasnoselskii불동점정리%추
P-Laplacian equation%boundary value problem%positive solution%Krasnoselskii fixed point theorem%cone
运用锥上的Krasnoselskii不动点定理和Leggett-Williams定理，考虑了一类非线性分数阶p-Laplacian方程正解的存在性，获得了该边值问题存在正解的充分条件，并举例说明了所得结果的有效性。
運用錐上的Krasnoselskii不動點定理和Leggett-Williams定理，攷慮瞭一類非線性分數階p-Laplacian方程正解的存在性，穫得瞭該邊值問題存在正解的充分條件，併舉例說明瞭所得結果的有效性。
운용추상적Krasnoselskii불동점정리화Leggett-Williams정리，고필료일류비선성분수계p-Laplacian방정정해적존재성，획득료해변치문제존재정해적충분조건，병거례설명료소득결과적유효성。
In this paper, we study the existence of positive solutions for nonlinear fractional differential equa-tion boundary value problems with P-Laplacian. By using Krasnoselskii fixed point theorem in a cone and Leggett-Williams theorem, some sufficient conditions for the existence of positive solutions are obtained. Examples are given to illustrate the effectiveness of our results.
