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Titlebook: Nonlinear Stochastic Evolution Problems in Applied Sciences; N. Bellomo,Z. Brzezniak,L. M. Socio Book 1992 Springer Science+Business Media

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书目名称Nonlinear Stochastic Evolution Problems in Applied Sciences
编辑N. Bellomo,Z. Brzezniak,L. M. Socio
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Nonlinear Stochastic Evolution Problems in Applied Sciences;  N. Bellomo,Z. Brzezniak,L. M. Socio Book 1992 Springer Science+Business Media
出版日期Book 1992
关键词Boundary value problem; Probability theory; Stochastic processes; equation; linear optimization; partial
版次1
doihttps://doi.org/10.1007/978-94-011-1820-0
isbn_softcover978-94-010-4803-3
isbn_ebook978-94-011-1820-0
copyrightSpringer Science+Business Media Dordrecht 1992
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Stochastic Models and Random Evolution Equations,the time and/or space evolution of its dependent variables. As such, the model equation describes the physical state of the system. When the state of the system is defined by more than one variable, the mathematical model is given in terms of a set of equations, the number of which is equal to the number of components of the state variable.
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The Random Initial Boundary Value Problem,When dealing with Problems 1 and 2 introduced in Section 2 of Chapter 1, the physical situation to be studied can be considered as an input-output system where the set of initial and boundary conditions represent the input and the actual solution of the problem is the output and the phenomenology is modelled by a partial differential equation.
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Further Developments of the Sai Method,All the preceding chapters were essentially devoted to stochastic evolution problems which are described by partial differential equations with their proper initial and boundary conditions. However the SAI method seems flexible enough to be adopted for the solution of a larger class of mathematical problems.
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Stochastic Systems with Addional Weighted Noise,r of the dependent variable is defined by the superposition on a deterministic evolution (in space and time) of an additional weighted noise. This type of modelling was already announced in Chapter 1 when we presented Eq.(1.14).
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978-94-010-4803-3Springer Science+Business Media Dordrecht 1992
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Overview: 978-94-010-4803-3978-94-011-1820-0
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