Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations (Mathematics and its Applications, Band 55) - Softcover

Pankov, A.A. A.

Softcover

ISBN 10: 9401196842 ISBN 13: 9789401196840

Verlag: Springer, 2013

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 9401196842
• ISBN 13: 9789401196840
• Einband: Taschenbuch
• Anzahl der Seiten: 232
• Kontakt zum Hersteller: Dt. Universitätsverlag; buchhandel-buch@springer.com; ; Abraham-Lincoln-Str. 46; Wiesbaden; 65198; Deutschland