Method of Guiding Functions in Problems of Nonlinear Analysis [electronic resource] / by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev.
By: Obukhovskii, Valeri [author.].
Contributor(s): Zecca, Pietro [author.] | Van Loi, Nguyen [author.] | Kornev, Sergei [author.] | SpringerLink (Online service).
Material type:
BookSeries: Lecture Notes in Mathematics: 2076Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: XIII, 177 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642370700.Subject(s): Mathematics | Operator theory | Systems theory | Mathematics | Mathematics, general | Operator Theory | Game Theory, Economics, Social and Behav. Sciences | Systems Theory, ControlDDC classification: 510 Online resources: Click here to access online 1 Background -- 2 MGF in Finite-Dimensional Spaces -- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions.
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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