Homotopy of Extremal Problems [E-Book] : Theory and Applications.
Bulatov, Alexander V.
Bobylev, Nikolai A. / Emelyanov, Stanislav V. / Korovin, Sergey K.
Berlin : De Gruyter
1 online resource (XI, 303 S.)
englisch
9783110893014
9783110189421
De Gruyter Series in Nonlinear Analysis and Applications ; 11
Full Text
Main description: 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.
Biographical note: 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.
Review text: "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