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-ChiefJurgen Appell, Wurzburg, Germany Honorary and Advisory EditorsCatherine Bandle, Basel, SwitzerlandAlain Bensoussan, Richardson, Texas, USAAvner Friedman, Columbus, Ohio, USAUmberto Mosco, Worcester, Massachusetts, USALouis Nirenberg, New York, USAAlfonso Vignoli, Rome, Italy Editorial BoardMikio Kato, Nagano, JapanWojciech Kryszewski, Torun, PolandSimeon Reich, Haifa, IsraelKatrin Wendland, Freiburg, Germany Please submit book proposals to Jurgen Appell. Titles in planning include Eduardo V. Teixeira, Free Boundary Problems: A Primer (2018)Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
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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
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