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Method of Guiding Functions in Problems of Nonlinear Analysis

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Paperback, 177 blz. | Engels
Springer Berlin Heidelberg | 2013e druk, 2013
ISBN13: 9783642370694
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Springer Berlin Heidelberg 2013e druk, 2013 9783642370694
Onderdeel van serie Lecture Notes in Mathematics
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Samenvatting

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.

Specificaties

ISBN13:9783642370694
Taal:Engels
Bindwijze:paperback
Aantal pagina's:177
Uitgever:Springer Berlin Heidelberg
Druk:2013

Inhoudsopgave

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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        Method of Guiding Functions in Problems of Nonlinear Analysis