| Document Type
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BL
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| Record Number
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1012414
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| Doc. No
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b766784
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| Uniform Title
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Matematicheskie problemy nelineĭnoĭ teorii pologikh obolochek.English
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| Main Entry
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Vorovich, I. I., (Iosif Izrailevich),1920-2001.
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| Title & Author
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Nonlinear theory of shallow shells /\ I.I. Vorovich ; English translation edited by L.P. Lebedev ; translated by Michael Grinfeld.
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| Publication Statement
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New York :: Springer,, ©1999.
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| Series Statement
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Applied mathematical sciences ;; 133
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| Page. NO
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1 online resource (xvi, 388 pages) :: illustrations
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| ISBN
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0387227768
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: 1280010207
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: 661001020X
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: 9780387227764
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: 9781280010200
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: 9786610010202
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0387983392
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9780387983394
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| Bibliographies/Indexes
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Includes bibliographical references (pages 355-374) and index.
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| Contents
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The fundamental boundary value problems of the non-linear theory of shallow shells -- Mathematical prerequisites -- The topological method of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of displacements -- The topological methods of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of a stress function -- The variational methods of solution of the boundary value problems of the non-linear theory of shallow shells -- Some numerical-analytic methods in the non-linear theory of shallow shells -- Direct methods in the non-linear theory of shallow shells -- Formulation of the stability problems -- Global uniqueness of solutions -- The rigidity of shells -- Classes of well-posedness -- The global stability of the momentless stress-strain state of a shallow shell -- The existences of a lower critical number.
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| Abstract
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This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
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| Subject
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Boundary value problems.
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| Subject
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Nonlinear theories.
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| Subject
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Shells (Engineering)
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Boundary value problems.
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| Subject
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Coques (Ingénierie)
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MATHEMATICS-- Essays.
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MATHEMATICS-- Pre-Calculus.
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| Subject
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MATHEMATICS-- Reference.
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| Subject
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Nonlinear theories.
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| Subject
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Problèmes aux limites.
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| Subject
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Shells (Engineering)
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Théories non linéaires.
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| Dewey Classification
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510 s624.1/7762
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| LC Classification
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QA1.A647 vol. 133TA660.S5eb
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| Added Entry
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Lebedev, L. P.
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