带脉冲的多时滞分数阶阻尼偏微分方程解的强迫振动性

doi:10.3969/j.issn.1000-5641.2024.02.005

华东师范大学学报（自然科学版） ›› 2024, Vol. 2024 ›› Issue (2): 33-41.doi: 10.3969/j.issn.1000-5641.2024.02.005

带脉冲的多时滞分数阶阻尼偏微分方程解的强迫振动性

林文贤()

1. 韩山师范学院数学与统计学院, 广东潮州　521041

收稿日期:2023-09-25 出版日期:2024-03-25 发布日期:2024-03-18
作者简介:林文贤, 男, 教授, 研究方向为分数阶微分方程. E-mail: wxlin@hstc.edu.com
基金资助:
国家自然科学基金(12026253); 广东省普通高校特色创新类项目(2023KTSCX083)

Forced oscillation of fractional damped partial differential equation solutions with impulsive delays

Wenxian LIN()

1. College of Mathematics and Statistics, Hanshan Normal University, Chaozhou, Guangdong　521041, China

Received:2023-09-25 Online:2024-03-25 Published:2024-03-18

摘要/Abstract

摘要：

利用微分不等式方法, 在 Robin 和 Dirichlet 边界条件下, 建立了带阻尼项的脉冲多时滞分数阶偏微分方程解的强迫振动性的一些充分条件, 并举出一个实例验证了主要结果的有效性.

关键词: 强迫振动性, 分数阶偏微分方程, 多时滞, 脉冲

Abstract:

In this paper, some sufficient conditions for forced oscillation of impulsive multi-delay fractional partial differential equation solutions with damping term are established by using the method of differential inequalities under Robin and Dirichlet boundary conditions, an example is given to verify the validity of the main results.

Key words: forced oscillation, fractional partial differential equation, multi-delay, impulsive

中图分类号:

O175.2

林文贤. 带脉冲的多时滞分数阶阻尼偏微分方程解的强迫振动性[J]. 华东师范大学学报（自然科学版）, 2024, 2024(2): 33-41.

Wenxian LIN. Forced oscillation of fractional damped partial differential equation solutions with impulsive delays[J]. Journal of East China Normal University(Natural Science), 2024, 2024(2): 33-41.

参考文献 19

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带脉冲的多时滞分数阶阻尼偏微分方程解的强迫振动性

Forced oscillation of fractional damped partial differential equation solutions with impulsive delays

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