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portada elements of the mathematical theory of evolutionary equations in banach spaces
Type
Physical Book
Author
Publisher
Year
2014
Language
English
Pages
408
Format
Hardcover
Dimensions
23.1x16x2.5 cm
Weight
0.70 kg.
ISBN
9814434825
ISBN13
9789814434829
Categories

elements of the mathematical theory of evolutionary equations in banach spaces

Anatoliy M. Samoilenko (Author) · Yuriy Teplinsky (Author) · World Scientific Publishing Company · Hardcover

elements of the mathematical theory of evolutionary equations in banach spaces - Samoilenko, Anatoliy M. ; Teplinsky, Yuriy

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Synopsis "elements of the 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, 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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