Elements of mathematical theory of evolutionary equations in Banach spaces
Author(s)
Bibliographic Information
Elements of mathematical theory of evolutionary equations in Banach spaces
（World Scientific series on nonlinear science / editor, Leon O. Chua, Series A,
World Scientific, c2013
Available at / 7 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"
