Existence of almost periodic solutions of stochastic differential equations with periodic coefficients

AbstractIn this work, under some conditions, we will prove that a scalar stochastic differential equation with periodic coefficients admits almost periodic solutions.

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Almost periodic solutions and stable solutions for stochastic differential equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019113 ◽

2017 ◽

Vol 22 (11) ◽

pp. 1-18

Author(s):

Yong Li ◽

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Zhenxin Liu ◽

Wenhe Wang ◽

◽

...

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Stable Solutions

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Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

Stochastics and Dynamics ◽

10.1142/s0219493720500033 ◽

2019 ◽

Vol 20 (01) ◽

pp. 2050003

Author(s):

Xiao Ma ◽

Xiao-Bao Shu ◽

Jianzhong Mao

Keyword(s):

Hilbert Space ◽

Fixed Point ◽

Fixed Point Theorem ◽

Differential Equations ◽

Fractional Calculus ◽

Stochastic Differential Equations ◽

Periodic Solutions ◽

Infinite Delay ◽

Almost Periodic Solutions ◽

Almost Periodic

In this paper, we investigate the existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay in Hilbert space. The main conclusion is obtained by using fractional calculus, operator semigroup and fixed point theorem. In the end, we give an example to illustrate our main results.

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Almost Periodic Solutions for Stochastic Differential Equations Driven By G-Brownian Motion

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2013.863935 ◽

2015 ◽

Vol 44 (11) ◽

pp. 2371-2384 ◽

Cited By ~ 5

Author(s):

Miao Zhang ◽

Gaofeng Zong

Keyword(s):

Brownian Motion ◽

Differential Equations ◽

Stochastic Differential Equations ◽

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic

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Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with -weighted pseudo-almost periodic coefficients

Nonlinear Analysis ◽

10.1016/j.na.2009.06.077 ◽

2010 ◽

Vol 72 (1) ◽

pp. 430-438 ◽

Cited By ~ 34

Author(s):

Toka Diagana ◽

Gisèle M. Mophou ◽

Gaston M. N’Guérékata

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Periodic Coefficients ◽

Pseudo Almost Periodic Solutions ◽

Pseudo Almost Periodic

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Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)

Mathematica Bohemica ◽

10.21136/mb.2004.134110 ◽

2004 ◽

Vol 129 (1) ◽

pp. 43-70

Author(s):

Alexandr Fischer

Keyword(s):

Fourier Transform ◽

Differential Equations ◽

Periodic Solutions ◽

Time Lag ◽

Constant Time ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Periodic Coefficients

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EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS

Cubo (Temuco) ◽

10.4067/s0719-06462013000100005 ◽

2013 ◽

Vol 15 (1) ◽

pp. 77-96 ◽

Cited By ~ 13

Author(s):

Junwei Liu ◽

Chuanyi Zhang

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Existence And Stability

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The frequencies of almost periodic solutions of almost periodic differential equations

Journal of the Australian Mathematical Society ◽

10.1017/s1446788700017092 ◽

1974 ◽

Vol 17 (3) ◽

pp. 332-344

Author(s):

G. C. O'Brien

Keyword(s):

Differential Equation ◽

Differential Equations ◽

Periodic Solutions ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

First Order ◽

Periodic Differential Equation ◽

Right Hand

AbstractAlmost periodic solutions of a first order almost periodic differential equation in Rp are shown to have less than p basic frequencies additional to the basic frequencies of the almost periodic right hand of the equation.

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