Some periodic type solutions for stochastic reaction-diffusion equation with cubic nonlinearities

被引：7
|
作者：
Gao, Peng [1 ,2 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 10期
关键词：
Stochastic reaction-diffusion equation; Bounded solutions; Stationary solutions; Periodic solutions; Almost periodic solutions; Almost automorphic solutions; BIRTH-DEATH PROCESSES; AUTOMORPHIC SOLUTIONS; DIFFERENTIAL-EQUATIONS; DRIVEN; PSEUDO;
D O I：
10.1016/j.camwa.2017.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the bounded solutions, stationary solutions, periodic solutions, almost periodic solutions, almost automorphic solutions for stochastic reaction-diffusion equation with cubic nonlinearities. The main difficulty is the cubic nonlinearities, we overcome this difficulty by the semigroup approach, the energy estimate method and refined inequality technique. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：2281 / 2297
页数：17
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