Dissipativity and stability for semilinear anomalous diffusion equations involving delays

被引：9

作者：

Dinh Ke, Tran ^{[1
]}

Tran Phuong Thuy, Lam ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Elect Power Univ, Dept Math, Hanoi, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 15期

关键词：

anomalous diffusion; dissipativity; nonlocal PDE; weakly asymptotic stability; SUBDIFFUSION EQUATIONS; TIME;

D O I：

10.1002/mma.6497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the dissipativity and stability of solutions to a class of semilinear anomalous diffusion equations involving delays. The existence of absorbing set, the stability, and weak stability will be shown under suitable assumptions on the nonlinearity. Our analysis is based on new Halanay-type inequality, local estimates, and fixed-point arguments.

引用

页码：8449 / 8465

页数：17

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