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

[21] Boundedness of solutions of measure differential equations
Cao, Yueju
2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 553 - 557
[22] Approximate solutions of stochastic differential delay equations with Markovian switching
Li, Xiaoyue
Mao, Xuerong
Shen, Yi
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (2-3) : 195 - 207
[23] Khasminskii-type theorems for stochastic functional differential equations with infinite delay
Wu, Fuke
Hu, Shigeng
STATISTICS & PROBABILITY LETTERS, 2011, 81 (11) : 1690 - 1694
[24] Existence of periodic solutions for a system of delay differential equations
Hsu, Cheng-Hsiung
Yang, Suh-Yuh
Yang, Ting-Hui
Yang, Tzi-Sheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6222 - 6231
[25] STABILITY, INSTABILITY, BOUNDEDNESS AND INTEGRABILITY OF SOLUTIONS OF A CLASS OF INTEGRO-DELAY DIFFERENTIAL EQUATIONS
Tunc, Osman
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (04) : 801 - 819
[26] Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay
Anes M. Khatir
John R. Graef
Moussadek Remili
Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 823 - 836
[27] Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay
Khatir, Anes M.
Graef, John R.
Remili, Moussadek
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (03) : 823 - 836
[28] Uniform Stability and Boundedness of a Kind of Third Order Delay Differential Equations
Remili, M.
Oudjedi, L. D.
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2014, 2 (01): : 25 - 35
[29] Boundedness and persistence of delay differential equations with mixed nonlinearity
Berezansky, Leonid
Braverman, Elena
APPLIED MATHEMATICS AND COMPUTATION, 2016, 279 : 154 - 169
[30] BOUNDEDNESS OF SOLUTIONS FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS
Shao, Jing
Meng, Fanwei
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1575 - 1585

← 1 2 3 4 5 →