书目名称 | Stability of Functional Equations in Several Variables |
编辑 | Donald H. Hyers,George Isac,Themistocles M. Rassia |
视频video | |
丛书名称 | Progress in Nonlinear Differential Equations and Their Applications |
图书封面 |  |
描述 | The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. In addition to the main topic of the stability of certain functional equa |
出版日期 | Book 1998 |
关键词 | Algebra; Invariant; Mathematics; Topology; Variable; calculus; equation; function; functional analysis |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4612-1790-9 |
isbn_softcover | 978-1-4612-7284-7 |
isbn_ebook | 978-1-4612-1790-9Series ISSN 1421-1750 Series E-ISSN 2374-0280 |
issn_series | 1421-1750 |
copyright | Springer Science+Business Media New York 1998 |