(Download) "Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces" by Anatoly M Samoilenko & Yuri V Teplinsky # Book PDF Kindle ePub Free

eBook details

Title: Elements of Mathematical Theory of Evolutionary Equations in Banach Spaces
Author : Anatoly M Samoilenko & Yuri V Teplinsky
Release Date : January 03, 2013
Genre: Science & Nature,Books,Professional & Technical,Mathematics,
Pages : * pages
Size : 75563 KB

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.
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 Nonlinear Differential Equations

Readership: Graduate students and researchers working in the field of analysis and differential equations.