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Record Nr. |
UNINA9910437879303321 |
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Autore |
Obukhovskii Valeri |
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Titolo |
Method of Guiding Functions in Problems of Nonlinear Analysis / / by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (XIII, 177 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2076 |
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Disciplina |
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Soggetti |
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Mathematics |
Operator theory |
Game theory |
System theory |
Mathematics, general |
Operator Theory |
Game Theory, Economics, Social and Behav. Sciences |
Systems Theory, Control |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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1 Background -- 2 MGF in Finite-Dimensional Spaces -- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions. |
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Sommario/riassunto |
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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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