具有p(t)-Laplacian算子的混合分数阶周期边值问题的可解性  

Solvability of Mixed Fractional Periodic Boundary Value Problem with p(t)-Laplacian Operator

作　　者：汤小松[1] 王志伟[1] TANG Xiaosong;WANG Zhiwei(School of Mathematics and Physics,Jinggangshan University,Ji’an 343009,China)

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《应用数学》2022年第1期12-21,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11761038);Science and Technology Project of Department of Education of Jiangxi Province (GJJ180583)。

摘　　要：本文研究具有p(t)-Laplacian算子的混合分数阶周期边值问题.为了能利用连续定理来研究该问题解的存在性,将原问题转化为等价系统并在非线性项满足适当的条件下获得解的存在性.所得结果丰富且推广了以往的文献.最后,举例说明了本文的主要结果.In this paper, we investigate the mixed fractional periodic boundary value problem with p(t)-Laplacian operator. For making use of the continuation theorem to study the existence of solutions, we rewrite the original mixed fractional periodic boundary value problem as an equivalent system and obtain the existence results of solution under the appropriate conditions of the nonlinear term. The obtained results enriched and generalized the existing literatures. At last, an example is given out to demonstrate the main results.

关 键 词：混合分数阶导数 周期边值条件 p(t)-Laplacian算子 存在性 连续定理 

分 类 号：O175.1[理学—数学]