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

[31] TWO　EXISTENCE　THEOREMS　OF　PERIODIC　SOLUTIONS　FOR　DIFFERENTIAL　DELAY　EQUATIONS
GE WEIGAO(Department of APPlied Matehematics
Chinese Annals of Mathematics, 1994, (02) : 217 - 224
[32] NUMERICAL SOLUTIONS OF STOCHASTIC DIFFERENTIAL DELAY EQUATIONS WITH JUMPS
Zhao, Guihua
Song, Minghui
Liu, Mingzhu
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 6 (04) : 659 - 679
[33] Bifurcations in approximate solutions of Stochastic delay differential equations
Baker, CTH
Ford, JM
Ford, NJ
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (09): : 2999 - 3021
[34] Stability of numerical solutions to stochastic differential delay equations
Mao, XR
7TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XVI, PROCEEDINGS: SYSTEMICS AND INFORMATION SYSTEMS, TECHNOLOGIES AND APPLICATION, 2003, : 284 - 289
[35] Numerical Solutions of Stochastic Differential Delay Equations with Jumps
Jacob, Niels
Wang, Yongtian
Yuan, Chenggui
STOCHASTIC ANALYSIS AND APPLICATIONS, 2009, 27 (04) : 825 - 853
[36] Advances in nonlinear hybrid stochastic differential delay equations: Existence, boundedness and stability
Hu, Junhao
Mao, Wei
Mao, Xuerong
AUTOMATICA, 2023, 147
[37] A note on the LaSalle-type theorems for stochastic differential delay equations
Mao, XR
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) : 125 - 142
[38] The Improved LaSalle-Type Theorems for Stochastic Differential Delay Equations
Li, Xiaoyue
Mao, Xuerong
STOCHASTIC ANALYSIS AND APPLICATIONS, 2012, 30 (04) : 568 - 589
[39] SOME LIMIT-THEOREMS FOR STOCHASTIC DELAY-DIFFERENTIAL EQUATIONS
WHITE, BS
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (02) : 113 - 141
[40] BOUNDEDNESS OF SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
汤慕忠
黄树荣
ChineseScienceBulletin, 1989, (02) : 171 - 172

← 1 2 3 4 5 →