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Stochastic differential equations and applications

2008
This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form. The text is also useful as a reference source for pure and applied mathematicians, statisticians and ...
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Stochastic Equations and Stochastic Methods in Partial Differential Equations

2006
In the first part of the paper, basic notions of stochastic analysis and probability theory are recalled, including the concept of stochastic integration, and some basic results of the theory of partial differential equations are reviewed. The second part of the paper is a review of applications of stochastic analysis techniques in deterministic PDE ...
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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

SIAM Journal of Scientific Computing, 2002
Dongbin Xiu, George Em Karniadakis
exaly  

Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control

SIAM Journal on Control and Optimization, 1999
Shige Peng, Zhen Wu
exaly  

A Systematic Method to Model Power Systems as Stochastic Differential Algebraic Equations

IEEE Transactions on Power Systems, 2013
Federico Milano   +1 more
exaly  

Fuzzy and Set-Valued Stochastic Differential Equations With Local Lipschitz Condition

IEEE Transactions on Fuzzy Systems, 2015
Marek T Malinowski
exaly  

Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects

Journal of the Franklin Institute, 2010
Chunxiang Li, Jitao Sun, Ruoyan Sun
exaly  

On stochastic differential equations

Memoirs of the American Mathematical Society, 1951
openaire   +1 more source

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