一类分数阶p-Laplacian边值问题的正解  

Positive Solutions for a Class of Fractional p-Laplacian Boundary Value Problems

作　　者：官琳琳[1] 

机构地区：[1]南京信息工程大学滨江学院,江苏南京210044

出　　处：《南京师大学报（自然科学版）》2014年第4期41-45,共5页Journal of Nanjing Normal University(Natural Science Edition)

摘　　要：本文运用单调有界原理和一个算子不动点定理研究一类分数阶p-Laplacian边值问题正解的存在性,并且给出了正解的迭代序列.By virtue of monotone bounded theorem and a fixed point theorem of operator, the existence of positive solutions for a class of fractional p-Laplacian boundary value problems is studied,furthermore,a sequence of iterations for positive solution is also offered.

关 键 词：分数阶p-Laplacian边值问题 单调有界原理 算子不动点定理 正解 迭代 

分 类 号：O29[理学—应用数学]