Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations von A.A. Pankov | ISBN 9789401196826

Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

von A.A. Pankov
Buchcover Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations | A.A. Pankov | EAN 9789401196826 | ISBN 94-011-9682-6 | ISBN 978-94-011-9682-6

Bounded and Almost Periodic Solutions of Nonlinear Operator Differential Equations

von A.A. Pankov

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.
  • 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.