Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces: 86 (World Scientific Series on Nonlinear Science Series A) - Hardcover

Book 5 of 17: World Scientific Series On Nonlinear Science Series A

Samoilenko, Anatoly M Et Al

 
9789814434829: Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces: 86 (World Scientific Series on Nonlinear Science Series A)
Hardcover
ISBN 10: 9814434825 ISBN 13: 9789814434829
Publisher: World Scientific, 2013

Synopsis

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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Publisher
World Scientific
Publication date
2013
Language
English
ISBN 10 
9814434825
ISBN 13 
9789814434829
Binding
Hardcover
Number of pages
408