书目名称 | Difference Equations and Their Applications | 编辑 | A. N. Sharkovsky,Yu. L. Maistrenko,E. Yu. Romanenk | 视频video | | 丛书名称 | Mathematics and Its Applications | 图书封面 |  | 描述 | The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differ | 出版日期 | Book 1993 | 关键词 | chaos; dynamical systems; dynamische Systeme; linearity; modeling; partial differential equation; simulati | 版次 | 1 | doi | https://doi.org/10.1007/978-94-011-1763-0 | isbn_softcover | 978-94-010-4774-6 | isbn_ebook | 978-94-011-1763-0 | copyright | Springer Science+Business Media Dordrecht 1993 |
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