MULTI-VALUED RANDOM DYNAMICS OF STOCHASTIC WAVE EQUATIONS WITH INFINITE DELAYS

被引：2
|
作者：
Wang, Jingyu [1 ]
Wang, Yejuan [2 ]
Caraballo, Tomas [3 ]
机构：
[1] Shanxi Univ Finance & Econ, Coll Appl Math, Taiyuan 030006, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China
[3] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, Seville 41012, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 10期
关键词：
multi-valued non-autonomous random dynamical system; stochastic delay wave equation; nonlinear damping; infinite delay; Random attractor; REACTION-DIFFUSION EQUATIONS; RANDOM ATTRACTORS; ASYMPTOTIC-BEHAVIOR; GLOBAL ATTRACTORS; PULLBACK ATTRACTORS; UNIFORM ATTRACTORS; SYSTEMS; OSCILLATION; STABILITY;
D O I：
10.3934/dcdsb.2021310
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with infinite delays and additive white noise. The nonlinear terms of the equation are not expected to be Lip-schitz continuous, but only satisfy continuity assumptions along with growth conditions, under which the uniqueness of the solutions may not hold. Using the theory of multi-valued non-autonomous random dynamical systems, we prove the existence and measurability of a compact global pullback attractor.
引用
收藏
页码：6147 / 6172
页数：26
相关论文
共 50 条
12345