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English | 2022 | ISBN: 9811254354 | 209 pages | True PDF | 13.74 MB
This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.
Contents:
PreliminariesBloch-Type Periodic Functions and GeneralizationsBloch-Type Periodic Solutions to Semilinear Integrodifferential Equations of Mixed KernelBloch-Type Periodic Solutions to Multi-Term Fractional Evolution EquationsBloch-Type Periodic Solutions to Fractional Evolution Equations of Sobolev TypeBloch-Type Periodic Solutions to Fractional Integrodifferential EquationsAsymptotically Bloch-Type Periodic Solutions to Damped Evolution EquationsAsymptotically Bloch-Type Periodic Solutions to Partial Integrodifferential EquationsBloch-Type Periodic Solutions to Semilinear Integral EquationsAppendix: Compactness of Fractional Resolvent Operator Families
Readership: This book is designed for graduate students and beginning researchers in harmonic analysis and long-term behavior of evolution equations. It can be used to conduct seminars on special topics at the graduate level.
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