A note on the weak convergence of solutions of certain stochastic ordinary differential equations

1983 ◽  
pp. 690-698 ◽  
Author(s):  
Hisao Watanabe
Keyword(s):  
Weak Convergence ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Convergence Of Solutions ◽  
Stochastic Ordinary Differential Equations

scholarly journals Exponential Decay for a System of Equations with Distributed Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Nasser-Eddine Tatar
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Exponential Decay ◽  
Distributed Delay ◽  
Distributed Delays ◽  
System Of Equations ◽  
Activation Functions ◽  
Convergence Of Solutions

We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and unbounded activation functions.

Applications to Stochastic Ordinary Differential Equations

2009 ◽  
pp. 115-157
Author(s):  
Helge Holden ◽  
Bernt Øksendal ◽  
Jan Ubøe ◽  
Tusheng Zhang
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stochastic Ordinary Differential Equations

Stochastic Ordinary Differential Equations

2014 ◽  
pp. 314-371
Author(s):  
Gabriel J. Lord ◽  
Catherine E. Powell ◽  
Tony Shardlow
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stochastic Ordinary Differential Equations

scholarly journals Group classification of systems of two linear second-order stochastic ordinary differential equations

2019 ◽  
Author(s):  
T. G. Mkhize ◽  
G. F. Oguis ◽  
K. Govinder ◽  
S. Moyo ◽  
S. V. Meleshko
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Group Classification ◽  
Second Order ◽  
Stochastic Ordinary Differential Equations
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