Periodic solutions in distribution of stochastic lattice differential equations-Reference-Cited by-同舟云学术

Periodic solutions in distribution of stochastic lattice differential equations

Published:2023 Issue:2 Volume:28 Page:1300
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Zhou Xinping¹,Li Yong¹²,Jiang Xiaomeng²

Affiliation:

1. School of Mathematics and Statistics & Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, China

2. School of Mathematics, Jilin University, Changchun 130012, China

Abstract

<p style='text-indent:20px;'>In this paper, we consider stochastic lattice differential equations (SLDEs). Firstly, we discuss the well-posedness of solutions for SLDEs. Then, via upper and lower solutions, we obtain a pair of monotone sequences starting at them respectively, and we prove the existence of periodic solutions in distribution.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

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