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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

By: (Author) Anatoliy M Samoilenko , (Author) Yuriy Teplinsky

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Ksh 23,400.00

Format: Hardback or Cased Book

ISBN-10: 9814434825

ISBN-13: 9789814434829

Series: World Scientific Series on Nonlinear Science Series A

Publisher: World Scientific Publishing Co Pte Ltd

Imprint: World Scientific Publishing Co Pte Ltd

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Jun 28th, 2013

Print length: 408 Pages

Weight: 706 grams

Dimensions (height x width x thickness): 23.30 x 15.90 x 2.70 cms

Product Classification: Functional analysis & transforms

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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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