| 书目名称 | Random Evolutions and Their Applications | | 编辑 | Anatoly Swishchuk | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 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 | | 关键词 | Operator theory; Optimal control; Probability theory; functional analysis; statistics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-5754-4 | | isbn_softcover | 978-94-010-6427-9 | | isbn_ebook | 978-94-011-5754-4 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 17:58:48
