Almost Periodic Solutions of Differential Equations in Banach Spaces

1st Edition

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

CRC Press
Published October 25, 2001
Reference - 264 Pages
ISBN 9780415272667 - CAT# TF1395
Series: Stability and Control: Theory, Methods and Applications

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Summary

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.

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