Almost Periodic Solutions of Differential Equations in Banach Spaces

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CRC Press, Oct 25, 2001 - Mathematics - 264 pages
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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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Contents

Introduction to the Series
1
CoSEMIGROUPS WELL POSED EVOLUTION EQUATIONS
7
SPECTRAL CRITERIA FOR PERIODIC AND ALMOST PERIODIC
31
STABILITY METHODS FOR SEMILINEAR EVOLUTION
163
APPENDICES
221
REFERENCES
235
INDEX
249
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