Almost Periodic Solutions of Differential Equations in Banach Spaces: 1st Edition (Hardback) book cover

Almost Periodic Solutions of Differential Equations in Banach Spaces

1st Edition

By Yoshiyuki Hino, Toshiki Naito, Nguyen VanMinh, Jong Son Shin

CRC Press

264 pages

Purchasing Options:$ = USD
Hardback: 9780415272667
pub: 2001-10-25
SAVE ~$35.00
$175.00
$140.00
x
eBook (VitalSource) : 9780429173004
pub: 2001-10-25
from $28.98


FREE Standard Shipping!

Description

This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.

Reviews

"[U]seful for graduate students and researchers in differential equations, dynamical systems, stability theory, and control theory."

- Zentralblatt fur Mathematik, Vol. 1026

Table of Contents

Semigroups. Well-Posed Evolution Equations. Spectral Theory and Almost Periodicity of Functions. Strongly continuous Semigroups of Linear Operators. Evolution Equations. Spectral Theory and Almost Periodicity of Bounded Uniformly Continuous Functions. Spectral Criteria for Periodic and Almost Periodic Solutions. Evolution Semigroups & Almost Periodic Solutions of Periodic Equations. Evolution Semigroups. Sums of Commuting Operators and Spectral Criteria for Almost Periodicity. Decomposition Theorem and Periodic and Almost Periodic Solutions of Periodic Equations. Fixed Point Theorems and Fredholm Operators. Boundedness and Almost Periodicity in Discrete Systems. Boundedness and Almost Periodic Solutions of Semilinear Equations. Notes, Stability Methods for Semilinear Evolution Equations and Nonlinear Evolution Equations. Skew Product Flows of Processes and Quasi-Processes and Stability of Integrals. Existence Theorems of Almost Periodic Integrals. Processes and Quasi-Processes Generated by Abstract Functional Differential Equations. Equivalent Relationships Between BC-Stabilities and P-Stabilities. Existence of Almost Periodic Solutions.

About the Series

Stability and Control: Theory, Methods and Applications

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis