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作者 Bobylev, Nikolai A
書名 Approximation Procedures in Nonlinear Oscillation Theory
出版項 Berlin/Boston : De Gruyter, Inc., 1994
©1994
國際標準書號 9783110885712 (electronic bk.)
9783110141320
book jacket
說明 1 online resource (283 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 De Gruyter Series in Nonlinear Analysis and Applications Ser. ; v.2
De Gruyter Series in Nonlinear Analysis and Applications Ser
附註 Intro -- Preface -- Contents -- Chapter I: Basic Concepts -- 1 Equations for oscillatory systems -- 2 The shift operator and first return function -- 3 Integral and integrofunctional operators for periodic problem -- 4 The harmonic balance method -- 5 The method of mechanical quadratures -- 6 The collocation method -- 7 The method of finite differences -- 8 Factor methods -- Chapter II: Existence theorems for oscillatory regimes -- 1 Smooth manifolds and differential forms -- 2 Degree of a mapping -- 3 Rotation of vector fields -- 4 Completely continuous vector fields -- 5 Fixed point principles and solution of operator equations -- 6 Forced oscillations in systems with weak nonlinearities -- 7 Oscillations in systems with strong nonlinearities. Directing functions method -- Chapter III: Convergence of numerical procedures -- 1 Projection methods -- 2 Factor methods -- 3 Convergence of the harmonic balance method and the collocation method in the problem of periodic oscillations -- 4 Convergence of the method of mechanical quadratures -- 5 Convergence of the method of finite differences -- 6 Numerical procedures of approximate construction of oscillatory regimes in autonomous systems -- 7 Affinity theory -- 8 Effective convergence criteria for numerical procedures -- 9 Effective estimates of the convergence rate for the harmonic balance method -- Notes on the References -- References -- Index
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 toJürgen Appell
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Bobylev, Nikolai A. Approximation Procedures in Nonlinear Oscillation Theory Berlin/Boston : De Gruyter, Inc.,c1994 9783110141320
主題 Approximation theory.;Nonlinear oscillations
Electronic books
Alt Author Burman, Yuri M
Korovin, Sergey K
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