Second-order Neutral Stochastic Evolution Equations with Infinite Delay under Carathéodory Conditions

Y. Ren; D. D. Sun

doi:10.1007/s10957-010-9727-9

Second-order Neutral Stochastic Evolution Equations with Infinite Delay under Carathéodory Conditions

Journal of Optimization Theory and Applications ◽

10.1007/s10957-010-9727-9 ◽

2010 ◽

Vol 147 (3) ◽

pp. 569-582 ◽

Cited By ~ 16

Author(s):

Y. Ren ◽

D. D. Sun

Keyword(s):

Evolution Equations ◽

Infinite Delay ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Carathéodory Conditions

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A note on the second-order non-autonomous neutral stochastic evolution equations with infinite delay under Carathéodory conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.01.091 ◽

2014 ◽

Vol 232 ◽

pp. 658-665 ◽

Cited By ~ 1

Author(s):

Yong Ren ◽

Tingting Hou ◽

R. Sakthivel ◽

Xing Cheng

Keyword(s):

Evolution Equations ◽

Infinite Delay ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Carathéodory Conditions

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Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps

Journal of Mathematical Physics ◽

10.1063/1.4739406 ◽

2012 ◽

Vol 53 (7) ◽

pp. 073517 ◽

Cited By ~ 49

Author(s):

Yong Ren ◽

R. Sakthivel

Keyword(s):

Evolution Equations ◽

Infinite Delay ◽

Mild Solutions ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Poisson Jumps

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First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints

Journal of Differential Equations ◽

10.1016/j.jde.2019.09.045 ◽

2020 ◽

Vol 268 (6) ◽

pp. 2949-3015

Author(s):

Hélène Frankowska ◽

Qi Lü

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Evolution Equations ◽

Necessary Optimality Conditions ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Control And State Constraints

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Second-order neutral impulsive stochastic evolution equations with delay

Journal of Mathematical Physics ◽

10.1063/1.3251332 ◽

2009 ◽

Vol 50 (10) ◽

pp. 102709 ◽

Cited By ~ 12

Author(s):

Yong Ren ◽

Dandan Sun

Keyword(s):

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Equations With Delay

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Abstract Second-Order Damped McKean-Vlasov Stochastic Evolution Equations

Stochastic Analysis and Applications ◽

10.1080/07362990500522247 ◽

2006 ◽

Vol 24 (2) ◽

pp. 303-328 ◽

Cited By ~ 28

Author(s):

N. I. Mahmudov ◽

M. A. McKibben

Keyword(s):

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations

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The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D Euclidean motion group

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-07-01066-0 ◽

2007 ◽

Vol 66 (1) ◽

pp. 27-67 ◽

Cited By ~ 31

Author(s):

Remco Duits ◽

Markus van Almsick

Keyword(s):

Evolution Equations ◽

Second Order ◽

Explicit Solutions ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Motion Group ◽

Euclidean Motion Group ◽

Euclidean Motion

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Approximate Controllability Results for Second Order Neutral Impulsive Stochastic Evolution Equations of Sobolev Type with Unbounded Delay

Journal of Applied Nonlinear Dynamics ◽

10.5890/jand.2019.06.011 ◽

2019 ◽

Vol 8 (2) ◽

pp. 291-304 ◽

Cited By ~ 1

Author(s):

R. Nirmalkumar ◽

R. Murugesu

Keyword(s):

Approximate Controllability ◽

Evolution Equations ◽

Second Order ◽

Sobolev Type ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Unbounded Delay

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Exponential stability of second-order stochastic evolution equations with Poisson jumps

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2012.04.020 ◽

2012 ◽

Vol 17 (12) ◽

pp. 4517-4523 ◽

Cited By ~ 53

Author(s):

R. Sakthivel ◽

Y. Ren

Keyword(s):

Exponential Stability ◽

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Poisson Jumps

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Second-order neutral impulsive stochastic evolution equations with infinite daelay

Advances in Difference Equations ◽

10.1186/1687-1847-2014-112 ◽

2014 ◽

Vol 2014 (1) ◽

Cited By ~ 2

Author(s):

Chaohui Yue

Keyword(s):

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations

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Stationary distributions of second order stochastic evolution equations with memory in Hilbert spaces

Stochastic Processes and their Applications ◽

10.1016/j.spa.2019.03.015 ◽

2020 ◽

Vol 130 (1) ◽

pp. 366-393

Author(s):

Kai Liu

Keyword(s):

Hilbert Spaces ◽

Evolution Equations ◽

Second Order ◽

Stochastic Evolution ◽

Stochastic Evolution Equations ◽

Stationary Distributions ◽

With Memory

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