| 書目名稱 | Handbook of Multivalued Analysis | | 副標(biāo)題 | Volume II: Applicati | | 編輯 | Shouchuan Hu,Nikolas S. Papageorgiou | | 視頻video | http://file.papertrans.cn/422/421702/421702.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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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