| 期刊全称 | Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations | | 影响因子2023 | Grigorij Kulinich,Svitlana Kushnirenko,Yuliya Mish | | 视频video | http://file.papertrans.cn/164/163778/163778.mp4 | | 发行地址 | Of great interest for practitioners and researchers who apply stochastic models to describe phenomena of instability.Contains results on the weak convergence of a wide class of functionals of SDE solu | | 学科分类 | Bocconi & Springer Series | | 图书封面 |  | | 影响因子 | .This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have practical value. Instability or violations of stability are noted in many phenomena, and the authors attempt to apply mathematical and stochastic methods to deal with them. The main goals include exploration of Brownian motion in environments with anomalies and study of the motion of the Brownian particle in layered media. A fairly wide class of continuous Markov processes is obtained in the limit. It includes Markov processes with discontinuous transition densities, processes that are not solutions of any Itô‘s SDEs, and the Bessel diffusion process. The book is self-contained, with presentation of definitions and auxiliary results in an Appendix. It will be of value for specialists in stochastic analysis and SDEs, as well as for researchers in other fields who deal with unstable systems and pr | | Pindex | Book 2020 |
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