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Method of guiding functions in problems of nonlinear analysis
This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of non...
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| Auteurs principaux : | , , , |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Method of guiding functions in problems of nonlinear analysis / Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev. |
| Édition : | 1st ed. 2013 |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Lecture notes in mathematics (Internet) ; 2076 |
| Accès en ligne : |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | 1 Background. 2 MGF in Finite-Dimensional Spaces. 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions |
| Sujets : | |
| Documents associés : | Autre format:
Method of guiding functions in problems of nonlinear analysis |
| Résumé : | This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for pure mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics |
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| Notes : | L'impression du document génère 189 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-642-37070-0 |
| DOI : | 10.1007/978-3-642-37070-0 |