Approximation Procedures in Nonlinear Oscillation Theory (De Gruyter Series in Nonlinear Analysis & Applications): 2 - Hardcover

Bobylev, Nikolai A.; Burman, Yurii M.; Korovin, Sergey K.

Hardcover

ISBN 10: 3110141329 ISBN 13: 9783110141320

Publisher: De Gruyter, 1994

Synopsis

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. Editor-in-Chief Jurgen Appell, Wurzburg, Germany Honorary and Advisory Editors Catherine Bandle, Basel, Switzerland Alain Bensoussan, Richardson, Texas, USA Avner Friedman, Columbus, Ohio, USA Umberto Mosco, Worcester, Massachusetts, USA Louis Nirenberg, New York, USA Alfonso Vignoli, Rome, Italy Editorial Board Manuel del Pino, Bath, UK, and Santiago, Chile Mikio Kato, Nagano, Japan Wojciech Kryszewski, Torun, Poland Vicentiu D. Radulescu, Krakow, Poland Simeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019) Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019) Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019) Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020) Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020) Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

About this title

Review

"The book is well written and provides a good view of the important contributions of the school of Krasnosel′skiĭ in the theory of nonlinear oscillations." Mathematical Reviews

"Undoubtedly it [the book] will be useful to all specialists in nonlinear analysis as well as oscillation theory." Zentralblatt für Mathematik

Synopsis

Introduces the basic concepts of oscillation theory, and details periodical processes, the simplest type of oscillatory processes. Focuses on convergence of numerical procedures involving iteration-projection methods, with emphasis on the Galerkin, the harmonic balance, and the difference methods. Discusses the fundamental existence theorems for os

Edition details

• Publisher: De Gruyter
• Publication date: 1994
• ISBN 10: 3110141329
• ISBN 13: 9783110141320
• Binding: Hardcover
• Language: English
• Number of pages: 283