Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces
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A01=Anatoliy M Samoilenko
A01=Yuriy Teplinsky
Author_Anatoliy M Samoilenko
Author_Yuriy Teplinsky
Banach Spaces
Bounded Number Sequences
Category=PBKF
Difference Equations
Differencial Equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Invariant Tori
Periodic Solutions
Reducibility
Product details
- ISBN 9789814434829
- Publication Date: 28 Jun 2013
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
