带p(t)-Laplace算子的分数阶Langevin方程参数型反周期边值问题解的存在性  

Existence of Solutions for Parametric Type Anti-periodic Boundary Value Problems of Fractional Langevin Equation with p(t)-Laplace Operator

作　　者：倪晋波 陈港 董蝴蝶 NI Jinbo;CHEN Gang;DONG Hudie(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,Anhui Province,China)

机构地区：[1]安徽理工大学数学与大数据学院,安徽淮南232001

出　　处：《吉林大学学报（理学版）》2023年第3期490-496,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11601007);安徽省高等学校自然科学研究项目(批准号:KJ2020A0291).

摘　　要：利用Schaefer不动点定理,讨论一类带有p(t)-Laplace算子的分数阶Langevin方程参数型反周期边值问题,通过给出非线性项合理的假设条件得到了其解的存在性结果,并举例说明主要结果的应用.By using Schaefer fixed point theorem,we discussed a class of parametric type anti-periodic boundary value problems of fractional Langevin equation with p(t)-Laplace operator,the existence result of solution was obtained by giving reasonable assumptions for nonlinear term,and the application of the main result was illustrated with an example.

关 键 词：Schaefer不动点定理 p(t)-Laplace算子 分数阶Langevin方程 参数型反周期边值问题 

分 类 号：O175.8[理学—数学]