Method of Guiding functions in problems og nonlinear analysis

✍ Scribed by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev

• Publisher: Springer
• Year: 2013
• Tongue: English
• Leaves: 189
• Series: Springer Lecture notes in mathematics 2076
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages i-xiii
Background....Pages 1-24
Method of Guiding Functions in Finite-Dimensional Spaces....Pages 25-67
Method of Guiding Functions in Hilbert Spaces....Pages 69-104
Second-Order Differential Inclusions....Pages 105-129
Nonlinear Fredholm Inclusions and Applications....Pages 131-165
Back Matter....Pages 167-180

✦ Subjects

Matematica