THEOREMS ON BOUNDEDNESS OF SOLUTIONS TO STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

被引：0

作者：

Raffoul, Youssef N. ^{[1
]}

Ren, Dan ^{[1
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Stochastically bounded; bounded in probability; Lyapunov functional; inequalities; stochastic Volterra integro-differential system; STABILITY; DYNAMICS; MODELS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this report, we provide general theorems about boundedness or bounded in probability of solutions to nonlinear delay stochastic differential systems. Our analysis is based on the successful construction of suitable Lyapunov functionals. We offer several examples as application of our theorems.

引用

页数：14

共 50 条

[1] Attraction, stability and boundedness for stochastic differential delay equations
Mao, XR
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4795 - 4806
[2] Moment boundedness of linear stochastic delay differential equations with distributed delay
Wang, Zhen
Li, Xiong
Lei, Jinzhi
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2014, 124 (01) : 586 - 612
[3] STABILITY, BOUNDEDNESS AND UNIFORM BOUNDEDNESS OF SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Tunc, Cemil
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 1395 - 1403
[4] Exponential boundedness of solutions for impulsive delay differential equations
Berezansky, L
Braverman, E
APPLIED MATHEMATICS LETTERS, 1996, 9 (06) : 91 - 95
[5] ON THE BOUNDEDNESS OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS OF THIRD ORDER
Tunc, Cemil
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2009, 34 (1A): : 227 - 237
[6] LIMIT THEOREMS FOR SOLUTIONS TO STOCHASTIC DIFFERENTIAL EQUATIONS
ROSENKRANTZ, W
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A234 - A234
[7] Exponential ultimate boundedness of impulsive stochastic delay differential equations
Xu, Liguang
Dai, Zhenlei
He, Danhua
APPLIED MATHEMATICS LETTERS, 2018, 85 : 70 - 76
[8] STABILITY AND BOUNDEDNESS OF STOCHASTIC INTEGRO-DELAY DIFFERENTIAL EQUATIONS
Tunc, Cemil
Oktan, Zozan
JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 15 (05): : 69 - 83
[9] Stability and boundedness of nonlinear hybrid stochastic differential delay equations
Hu, Liangjian
Mao, Xuerong
Shen, Yi
SYSTEMS & CONTROL LETTERS, 2013, 62 (02) : 178 - 187
[10] Boundedness analysis of stochastic delay differential equations with Levy noise
He, Danhua
Xu, Liguang
APPLIED MATHEMATICS AND COMPUTATION, 2022, 421

← 1 2 3 4 5 →