Affine periodic solutions for some stochastic differential equations

被引:0
作者
Guo, Ruichao [1 ]
Wang, Hongren [2 ]
机构
[1] Jilin Univ Finance & Econ, Sch Stat, Changchun 130117, Jilin, Peoples R China
[2] Jilin Normal Univ, Coll Math, Siping 136000, Jilin, Peoples R China
基金
中国国家自然科学基金;
关键词
Stochastic differential equations; Exponential stable; Affine periodic solutions in distribution; AUTOMORPHIC SOLUTIONS;
D O I
10.1186/s13661-023-01759-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are study the problem of affine periodicity of solutions in distribution for some nonlinear stochastic differential equation with exponentially stable. We prove the existence and uniqueness of stochastic affine periodic solutions in distribution via the Banach fixed-point theorem.
引用
收藏
页数:6
相关论文
共 50 条
[31]   Almost periodic solutions for abstract impulsive differential equations [J].
Stamov, Gani Tr. ;
Alzabut, Jehad O. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) :2457-2464
[32]   Almost periodic solutions of partial differential equations with delay [J].
Henriquez, Hernan R. ;
Cuevas, Claudio ;
Caicedo, Alejandro .
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[33]   Favard separation method for almost periodic stochastic differential equations [J].
Liu, Zhenxin ;
Wang, Wenhe .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (11) :8109-8136
[34]   Besicovitch Almost Periodic Solutions to Stochastic Dynamic Equations with Delays [J].
Li, Yongkun ;
Huang, Xiaoli .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
[35]   ALMOST PERIODIC SOLUTIONS TO STOCHASTIC EVOLUTION EQUATIONS ON BANACH SPACES [J].
Crewe, P. .
STOCHASTICS AND DYNAMICS, 2013, 13 (03)
[36]   Global Existence of Solutions for Stochastic Impulsive Differential Equations [J].
Shen, Li Juan ;
Sun, Ji Tao .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (04) :773-780
[37]   CONTINUOUS DEPENDENCE OF RECURRENT SOLUTIONS FOR STOCHASTIC DIFFERENTIAL EQUATIONS [J].
Qiu, Haijing ;
Wang, Yan .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[38]   STRONG SOLUTIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS WITH ROUGH COEFFICIENTS [J].
Champagnat, Nicolas ;
Jabin, Pierre-Emmanuel .
ANNALS OF PROBABILITY, 2018, 46 (03) :1498-1541
[39]   Predictability and uniqueness of weak solutions of the stochastic differential equations [J].
Merkle, Ana .
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (01) :207-219
[40]   Stability of solutions of Caputo fractional stochastic differential equations [J].
Xiao, Guanli ;
Wang, JinRong .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2021, 26 (04) :581-596