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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2014, Vol. 29 Issue (2): 201-210    DOI:
    
Existence of positive solutions for fractional boundary value problem with p-Laplacian operator in infinite interval
WANG Jin-hua, XIANG Hong-jun
Department of Mathematics, Xiangnan University, Chenzhou 423000, China
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Abstract  By using the fixed-point theorem on cone, the authors consider the multiple positive solutions for $m$- point fractional boundary value problem with p-Laplacian operator in infinite interval, sufficient conditions for the existence of at least three positive solutions are obtained. Moreover, an example is given to show the effectiveness of the works.

Key words： fractional p-Laplacian      infinite interval      boundary value problem      fixed-point theorem      positive solutions     
Received: 18 September 2013      Published: 29 July 2018
CLC:  O175.14  
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WANG Jin-hua
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Cite this article:

WANG Jin-hua, XIANG Hong-jun. Existence of positive solutions for fractional boundary value problem with p-Laplacian operator in infinite interval. Applied Mathematics A Journal of Chinese Universities, 2014, 29(2): 201-210.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2014/V29/I2/201


无穷区间上分数p-Laplacian方程边值问题正解的存在性

应用锥上的一个不动点定理, 讨论了一类分数p-Laplacian方程在无穷区间上的$m$点边值问题正解的多重性, 获得了该边值 问题至少存在三个正解的充分条件, 并举例说明了所得结果的有效性.

关键词： 分数p-Laplacian方程,  无穷区间,  边值问题,  不动点定理,  存在性 
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