Elements Of Mathematical Theory Of Evolutionary Equations In ... - 9789814434829

Elements Of Mathematical Theory Of Evolutionary Equations In Banach SpacesAuthor(s): Anatoliy M Samoilenko, Yuriy Teplinsky\nFormat: Hardback\nPublisher: World Scientific Publishing Co Pte Ltd, Singapore\nImprint: World Scientific Publishing Co Pte Ltd\nISBN-13: 9789814434829, 978-9814434829\nSynopsis\nEvolutionary 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 b.