一类变指数分数阶p(t)-Laplacian方程边值问题的可解性  

Solvability of Boundary Value Problems for a Class of Fractional p(t)-Laplacian Equation with Variable Index

作　　者：薛婷婷[1] 卞继承[1] 刘元彬 XUE Ting-ting;BIAN Ji-cheng;LIU Yuan-bin(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830000,China)

机构地区：[1]新疆工程学院数理学院,新疆乌鲁木齐830000

出　　处：《数学的实践与认识》2023年第1期223-229,共7页Mathematics in Practice and Theory

基　　金：新疆维吾尔自治区科技厅青年科学基金(2021D01B35);新疆维吾尔自治区高校科研计划自然科学项目(XJEDU2021Y048);新疆工程学院博士启动基金(2020xgy012302)。

摘　　要：应用Schaefer不动点定理,研究一类带p(t)-Laplacian算子的分数阶微分方程非共振边值问题解的存在性.In this paper,we apply Schaefer's fixed point theorem to study the existence of solutions for a class of non-resonant boundary value problems of fractional differential equationswithp(t)-Laplacian operator.

关 键 词：p(t)-Laplacian方程 不动点定理 边值问题 

分 类 号：O175.8[理学—数学]