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Titlebook: Random Evolutions and Their Applications; Anatoly Swishchuk Book 1997 Springer Science+Business Media Dordrecht 1997 Operator theory.Optim

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發(fā)表于 2025-3-21 17:58:48 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Random Evolutions and Their Applications
編輯Anatoly Swishchuk
視頻videohttp://file.papertrans.cn/822/821040/821040.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Random Evolutions and Their Applications;  Anatoly Swishchuk Book 1997 Springer Science+Business Media Dordrecht 1997 Operator theory.Optim
描述The main purpose of this handbook is to summarize and to put in order the ideas, methods, results and literature on the theory of random evolutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys- tem whose state of evolution is subject to random variations. Such systems arise in all branches of science. For example, random Hamiltonian and Schrodinger equations with random potential in quantum mechanics, Maxwell‘s equation with a random refractive index in electrodynamics, transport equations associated with the trajec- tory of a particle whose speed and direction change at random, etc. There are the examples of a single abstract situation in which an evolving system changes its "mode of evolution" or "law of motion" because of random changes of the "environment" or in a "medium". So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such g
出版日期Book 1997
關(guān)鍵詞Operator theory; Optimal control; Probability theory; functional analysis; statistics
版次1
doihttps://doi.org/10.1007/978-94-011-5754-4
isbn_softcover978-94-010-6427-9
isbn_ebook978-94-011-5754-4
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:48:16 | 只看該作者
lutions and their applications to the evolutionary stochastic systems in random media, and also to present some new trends in the theory of random evolutions and their applications. In physical language, a random evolution ( RE ) is a model for a dynamical sys- tem whose state of evolution is subjec
板凳
發(fā)表于 2025-3-22 03:35:03 | 只看該作者
New Trends in Random Evolutions,als, and study some their properties (Section 5.2). We also study some stochastic evolutionary operator equations driven by space-time white noise (Section 5.3). Examples of those equations arise from the limiting RE in diffusion approximation (Section 5.5). We can obtain them from the solution of a
地板
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ts "mode of evolution" or "law of motion" because of random changes of the "environment" or in a "medium". So, in mathematical language, a RE is a solution of stochastic operator integral equations in a Banach space. The operator coefficients of such equations depend on random parameters. Of course, in such g978-94-010-6427-9978-94-011-5754-4
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發(fā)表于 2025-3-22 19:11:52 | 只看該作者
Mathematics and Its Applicationshttp://image.papertrans.cn/r/image/821040.jpg
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Introduction,Many physical processes appear naturally in random media. The model of the evolution of such processes is a dynamical system perturbed by random disturbances of outer media. The abstract mathematical model of this evolution is a . (RE), namely, the solutions of stochastic operator integral equations in separable Banach space.
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發(fā)表于 2025-3-23 07:55:18 | 只看該作者
Multiplicative Operator Functionals,Multiplicative operator functionals ( MOF ) are a generalization of real multiplicative functionals from the probabilistic point of view and a stochastic analogue of semigroups of operators from the functional analysis point of view.
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