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940516s1994 gw ob 001 0 eng d |
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|a QA867.5
|b .B63 1994eb
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|a 003/.85
|2 20
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|a UAMI
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|a Bobylev, N. A.
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|a Approximation procedures in nonlinear oscillation theory /
|c Nikolai A. Bobylev, Yuri M. Burman, Sergey K. Korovin.
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|a Berlin ;
|a New York :
|b W. de Gruyer,
|c 1994.
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|a 1 online resource (284 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a De Gruyter series in nonlinear analysis and applications,
|x 0941-813X ;
|v 2
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|a Includes bibliographical references (pages 257-269) and index.
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|a Print version record.
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|a Preface -- Contents -- Chapter I: Basic Concepts -- Â 1 Equations for oscillatory systems -- Â 2 The shift operator and first return function -- Â 3 Integral and integrofunctional operators for periodic problem -- Â 4 The harmonic balance method -- Â 5 The method of mechanical quadratures -- Â 6 The collocation method -- Â 7 The method of finite differences -- Â 8 Factor methods -- Chapter II: Existence theorems for oscillatory regimes -- Â 1 Smooth manifolds and differential forms -- Â 2 Degree of a mapping -- Â 3 Rotation of vector fields
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|a  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
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|a  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
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Approximation theory.
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650 |
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|a Nonlinear oscillations.
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650 |
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|a Théorie de l'approximation.
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650 |
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|a Oscillations non linéaires.
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650 |
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|a Approximation theory
|2 fast
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650 |
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7 |
|a Nonlinear oscillations
|2 fast
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700 |
1 |
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|a Burman, Yu. M.
|q (Yuri M.),
|d 1967-
|1 https://id.oclc.org/worldcat/entity/E39PCjrHH6W97CRhVCKVqfYRqP
|
700 |
1 |
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|a Korovin, S. K.,
|d 1945-
|1 https://id.oclc.org/worldcat/entity/E39PCjyMK3MkjG844PwRHh3dBd
|
758 |
|
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|i has work:
|a Approximation procedures in nonlinear oscillation theory (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFWrQbp9Ptp3Q4BbDw7Vwd
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Bobylev, N.A.
|t Approximation procedures in nonlinear oscillation theory.
|d Berlin ; New York : W. de Gruyer, 1994
|h xi, 272 pages ; 25 cm.
|k De Gruyter series in nonlinear analysis and applications ; 2
|z 9783110141320
|w (DLC) 94016854
|
830 |
|
0 |
|a De Gruyter series in nonlinear analysis and applications ;
|v 2.
|x 0941-813X
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856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3044178
|z Texto completo
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936 |
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|a BATCHLOAD
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