Topologicheskie Metody V Kraevykh Zadachakh Dlya Differentsial'nykh Vklyucheniy Contributor(s): Basova Marina (Author), Obukhovskiy Valeriy (Author) |
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ISBN: 3846526886 ISBN-13: 9783846526880 Publisher: LAP Lambert Academic Publishing OUR PRICE: $50.27 Product Type: Paperback Language: Russian Published: November 2011 |
Additional Information |
BISAC Categories: - Mathematics | Functional Analysis |
Physical Information: 0.25" H x 6" W x 9" (0.36 lbs) 104 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Teoriya differentsial'nykh vklyucheniy yavlyaetsya vazhnoy chast'yu sovremennoy matematiki, blagodarya, v chastnosti, svoim prilozheniyam k sistemam upravleniya. Primenenie geometricheskikh i topologicheskikh metodov analiza k issledovaniyu razlichnykh voprosov teorii differentsial'nykh vklyucheniy imeet davnyuyu istoriyu. S pomoshch'yu ukazannykh metodov okazalos' vozmozhnym effektivno reshat' vazhnye problemy teorii differentsial'nykh vklyucheniy. Nastoyashchaya kniga posvyashchena, vo-pervykh, podrobnomu i dostupnomu dlya ne spetsialista izlozheniyu primenyaemykh topologicheskikh sredstv, vklyuchaya teoriyu topologicheskoy stepeni dlya dostatochno shirokogo klassa mnogoznachnykh otobrazheniy. V osnovnoy zhe svoey chasti, kniga soderzhit prilozheniya razvitykh metodov k obshchim kraevym zadacham dlya funktsional'no-differentsial'nykh vklyucheniy. Dannye zadachi vklyuchayut v sebya, v chastnosti, klassicheskie zadachu Koshi i periodicheskuyu zadachu i ikh nekotorye obobshcheniya. Rassmotreny prilozheniya k sushchestvovaniyu optimal'nogo resheniya dlya upravlyaemoy sistemy s razryvnymi kharakteristikami. Kniga rasschitana na shirokiy krug chitateley, interesuyushchikhsya voprosami sovremennogo nelineynogo i mnogoznachnogo analiza i ikh prilozheniyami k zadacham upravleniya slozhnymi sistemami. |