Homotopy of Extremal Problems

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.

This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.

Autorentext

Stanislav V. Emelyanov, Nikolai A. Bobylev and Alexander V. Bulatov, Russian Academy of Sciences, Moscow, Russia; Sergey K. Korovin, Moscow State University (Lomonosov), Moscow, Russia.

Zusammenfassung

"Overall this is a book which should interest many researchers and students working on either variational problems or topological methods for nonlinear boundary value problems."
James R. Ward in: Mathematical Reviews 2009b

"The book is carefully written an it can be read by graduate students. Physicists and engineers who use variational methods will also find here a good source of information."
In: EMS Newsletter 9/2008