带p-Laplacian算子的时滞分数阶微分方程边值问题3个正解的存在性OA北大核心CSTPCD
Existence of Three Positive Solutions for Fractional Differential Equation of Boundary Value Problem with p-Laplacian Operator and Delay
本文研究一类带p-Laplacian算子的分数阶时滞微分方程边值问题正解的存在性,应用Avery-Peterson不动点定理,当非线性项f满足一定增长条件时,得到上述边值问题至少存在3个正解的充分条件,得到一些新的结果,推广了已有的工作.
In this paper,the existence of positive solutions for fractional differential equation boundary value problems with p-Laplacian operator and delay are considered.By using Avery-Perterson fixed point theorem,under certain growth conditions,the existence of at least three positive solutions for the above boundary value problem are studied.Not only are some new results obtained,but also some known results are generalized and improved.
闫荣君;韦煜明;冯春华
广西师范大学数学与统计学院,广西桂林541004广西师范大学数学与统计学院,广西桂林541004广西师范大学数学与统计学院,广西桂林541004
数理科学
分数阶微分方程时滞微分方程边值问题p-Laplacian算子Avery-Peterson不动点定理
fractional differential equationdelayboundary value problemp-Laplacian operatorAvery-Peterson fixed point theorem
《广西师范大学学报（自然科学版）》 2017 (3)
时滞脉冲方程周期解和概周期解研究
75-82,8
国家自然科学基金(11361010)广西自然科学基金(2014GXNSFAA118002)广西高等学校高水平创新团队及卓越学者计划广西高等数学与统计模型重点实验室开放基金
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