Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

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Opis: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces - Yuri V. Teplinsky, Anatoly M. Samoilenko

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, the 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.Reducibility Problems for Difference Equations; Invariant Tori of Difference Equations in the Space M; Periodic Solutions of Difference Equations, Extention of Solutions; Countable-Point Boundary-Value Problems for Non-Linear Differential Equations in the Space M.


Szczegóły: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces - Yuri V. Teplinsky, Anatoly M. Samoilenko

Tytuł: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces
Autor: Yuri V. Teplinsky, Anatoly M. Samoilenko
Producent: World Scientific Publishing Co Ltd
ISBN: 9789814434829
Rok produkcji: 2013
Ilość stron: 400
Oprawa: Twarda
Waga: 0.7 kg


Recenzje: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces - Yuri V. Teplinsky, Anatoly M. Samoilenko

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Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces

,

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, the 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.Reducibility Problems for Difference Equations; Invariant Tori of Difference Equations in the Space M; Periodic Solutions of Difference Equations, Extention of Solutions; Countable-Point Boundary-Value Problems for Non-Linear Differential Equations in the Space M.

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Cena 690,13 PLN
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Wysyłka: Niedostępna
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Szczegóły: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces - Yuri V. Teplinsky, Anatoly M. Samoilenko

Tytuł: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces
Autor: Yuri V. Teplinsky, Anatoly M. Samoilenko
Producent: World Scientific Publishing Co Ltd
ISBN: 9789814434829
Rok produkcji: 2013
Ilość stron: 400
Oprawa: Twarda
Waga: 0.7 kg


Recenzje: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces - Yuri V. Teplinsky, Anatoly M. Samoilenko

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