
×
Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations
von A.A. PankovInhaltsverzeichnis
- 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.
- 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.
- 4. Bounded and almost periodic solutions of certain evolution equations.
- 1. Abstract evolution equations.
- 2. Applications.
- 3. Additional results.
- 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.
- Appendix 1. On certain linear evolution equations.
- Appendix 2. On certain wave equations.
- Appendix 3. Open questions.
- References.