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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

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Title: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
Description: Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems.The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.
Authors: Anatoliy M Samoilenko, Yuriy Teplinsky
Resource Type: eBook.
Subjects: Banach spaces
Categories: MATHEMATICS / Differential Equations / General, MATHEMATICS / Linear & Nonlinear Programming, SCIENCE / Chaotic Behavior in Systems
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 592587
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AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Label: Title
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  Data: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
– Name: Abstract
  Label: Description
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  Data: Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems.The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics.
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  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Anatoliy+M+Samoilenko%22">Anatoliy M Samoilenko</searchLink><br /><searchLink fieldCode="AR" term="%22Yuriy+Teplinsky%22">Yuriy Teplinsky</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Banach+spaces%22">Banach spaces</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Differential+Equations+%2F+General%22">MATHEMATICS / Differential Equations / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Linear+%26+Nonlinear+Programming%22">MATHEMATICS / Linear & Nonlinear Programming</searchLink><br /><searchLink fieldCode="ZK" term="%22SCIENCE+%2F+Chaotic+Behavior+in+Systems%22">SCIENCE / Chaotic Behavior in Systems</searchLink>
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      – Code: 515.732
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Banach spaces
        Type: general
    Titles:
      – TitleFull: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
        Type: main
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          Name:
            NameFull: Anatoliy M Samoilenko
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            NameFull: Yuriy Teplinsky
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            NameFull: Anatoliy M Samoilenko
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            NameFull: Yuriy Teplinsky
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 04
              M: 02
              Type: profile
              Y: 2014
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              Value: 9789814434829
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              Value: 9789814434836
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              Value: 9789814434843
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              Value: 00086
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            – TitleFull: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
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