Pankov Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

Erscheinungsjahr 2012
ISBN: 978-94-011-9682-6
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 55, 221 Seiten, eBook

Reihe: Mathematics and its Applications

Zielgruppe

Research

Autoren/Hrsg.

Pankov, A.A.

Inhaltsverzeichnis

1. Almost periodic functions.- 1. Almost periodic functions and Bohr compactilication.- 2. Besicovitch almost periodic functions and harmonic analysis.- 3. Structure of Bohr compactifications and spaces of almost periodic functions.- 4. Stepanov almost periodic functions.- 5. Weakly almost periodic functions.- 6. Spaces of smooth almost periodic functions on Rn.- Comments.- 2. Preliminaries.- 1. Some integral inequalities.- 2. Composition operators.- Comments.- 3. Solutions of evolution variational inequalities bounded and almost periodic in time.- 1. On variational inequalities.- 2. Bounded solutions.- 3. Regularity and almost periodicity of bounded solutions.- 4. The use of compactness.- 5. Almost periodicity in the sense of Besicovitch.- 6. Singular perturbation.- 7. Some examples and additional results.- Comments.- 4. Bounded and almost periodic solutions of certain evolution equations.- 1. Abstract evolution equations.- 2. Applications.- 3. Additional results.- Comments.- 5. Problems that are almost periodic in space variables.- 1. Nonlinear elliptic equations.- 2. Almost periodic first order systems.- 3. Symmetric hyperbolic systems with monotone nonlinearity.- 4. A nonlinear Schrödinger-type equation.- Comments.- Appendix 1. On certain linear evolution equations.- Appendix 2. On certain wave equations.- Appendix 3. Open questions.- References.