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Elements of Mathematical Theory of Evolutionary Equation...

Elements of Mathematical Theory of Evolutionary Equation...

Hardcover

Series: World Scientific Nonlinear Science Series a, Book 86

General MathematicsGeneral Science

ISBN10: 9814434825
ISBN13: 9789814434829
Publisher: World Scientific Publishing Company
Published: Jun 28 2013
Pages: 408
Weight: 1.54
Height: 1.00 Width: 6.30 Depth: 9.10
Language: English
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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Samoilenko, Anatoliy M.

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General Mathematics