| 书目名称 | Handbook of Multivalued Analysis | | 副标题 | Volume II: Applicati | | 编辑 | Shouchuan Hu,Nikolas S. Papageorgiou | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different c | | 出版日期 | Book 2000 | | 关键词 | Applied Mathematics; Calculus of Variations; Finite; Optimal control; Topology; calculus; function; functio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4615-4665-8 | | isbn_softcover | 978-1-4613-7111-3 | | isbn_ebook | 978-1-4615-4665-8 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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发表于 2025-3-21 19:25:27
