书目名称 | Mutational Analysis |
副标题 | A Joint Framework fo |
编辑 | Thomas Lorenz |
视频video | |
概述 | A broad class of evolution problems handled..Each chapter is quite self-contained so that the reader can select rather freely according to the examples of personal interest..Each example provides a ta |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure.This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.Here are some of the examples:- Feedback evolutions of compact subsets of the Euclidean space- Birth-and-growth processes of random sets (not necessarily convex)- Semilinear evolution equations- Nonlocal parabolic differential equations- Nonlinear transport equations for Radon measures- A structured population model- Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling. |
出版日期 | Book 2010 |
关键词 | Differential equations (ordinary; Distribution; Evolution equations; Nonsmooth analysis; Set-valued dyna |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-12471-6 |
isbn_softcover | 978-3-642-12470-9 |
isbn_ebook | 978-3-642-12471-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2010 |