| 书目名称 | Regularity Properties of Functional Equations in Several Variables | | 编辑 | Antal Járai | | 视频video | http://file.papertrans.cn/826/825553/825553.mp4 | | 概述 | Illustrates the basic ideas of regularity properties of functional equations by simple examples, then treats most of the modern results about regularity of non-composite functional equations of severa | | 丛书名称 | Advances in Mathematics | | 图书封面 |  | | 描述 | This book is about regularity properties of functional equations. In the second part of his fifth problem, Hilbert asked, concerning functional equations, "In how far are the assertions which we can make in the case of differentiable functions true under proper modifications without this assumption?” This book contains, in a unified fashion, most of the modern results about regularity of non-composite functional equations with several variables. These results show that "weak” regularity properties, say measurability or continuity, of solutions imply that they are in .C.[infinity], and hence the equation can be reduced to a differential equation. A long introduction highlights the basic ideas for beginners. Several applications are also included. ..Audience..This book is intended for researchers in the fields of mathematical analysis, applied mathematics, theoretical economics, and statistics. . | | 出版日期 | Book 2005 | | 关键词 | Manifold; differential equation; equation; function; functional equation; theorem; variable | | 版次 | 1 | | doi | https://doi.org/10.1007/b105379 | | isbn_softcover | 978-1-4419-3740-7 | | isbn_ebook | 978-0-387-24414-3 | | copyright | Springer-Verlag US 2005 |
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