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OverviewEvolutionary 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.Contents: Reducibility Problems for Difference EquationsInvariant Tori of Difference Equations in the Space MPeriodic Solutions of Difference Equations. Extention of SolutionsCountable-Point Boundary-Value Problems for Nonlinear Differential EquationsReadership: Graduate students and researchers working in the field of analysis and differential equations. Full Product DetailsAuthor: Anatoly M Samoilenko , Yuriy V Teplinsky , Yuri TeplinskyPublisher: World Scientific Publishing Company Imprint: World Scientific Publishing Company ISBN: 9781299651869ISBN 10: 1299651860 Pages: 408 Publication Date: 01 January 2013 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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