Method of Guiding Functions in Problems of Nonlinear Analysis / by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev.

Format:

Book

Author/Creator:

Obukhovskii, Valeri, 1947- author.

Zecca, P. (Pietro), author.

Van Loi, Nguyen, author.

Kornev, Sergei, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 2076.

Lecture Notes in Mathematics, 0075-8434 ; 2076

Language:

English

Subjects (All):

Mathematics.

Operator theory.

System theory.

Mathematics, general.

Operator Theory.

Game Theory, Economics, Social and Behav. Sciences.

Systems Theory, Control.

Local Subjects:

Mathematics, general.

Operator Theory.

Game Theory, Economics, Social and Behav. Sciences.

Systems Theory, Control.

Physical Description:

1 online resource (XIII, 177 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.

System Details:

text file PDF

Summary:

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.

Contents:

1 Background

2 MGF in Finite-Dimensional Spaces

3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions.

Other Format:

Printed edition:

ISBN:

9783642370700

Access Restriction:

Restricted for use by site license.