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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

World Scientific,
E-Book ( PDF mit Adobe DRM )
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Kurzbeschreibung

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.

Details

Titel: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
Autoren/Herausgeber: Anatoliy M Samoilenko, Yuriy Teplinsky
Aus der Reihe: World Scientific Series On Nonlinear Science Series A

ISBN/EAN: 9789814434836

Seitenzahl: 408
Produktform: E-Book
Sprache: Englisch

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