Nonlinear Vibrations and the Wave Equation

Front Matter ....Pages i-x
 Unbounded Linear Operators and Evolution Equations  (Alain Haraux)....Pages 1-8
 A Class of Abstract Wave Equations  (Alain Haraux)....Pages 9-14
 Almost Periodic Functions and the Abstract Wave Equation  (Alain Haraux)....Pages 15-22
 The Wave Equation in a Bounded Domain  (Alain Haraux)....Pages 23-26
 The Initial-Value Problem For A Mildly Perturbed Wave Equation  (Alain Haraux)....Pages 27-33
 The Initial-Value Problem in Presence of a Strong Dissipation  (Alain Haraux)....Pages 35-48
 Solutions on \\(\\mathbb {R}^{+}\\) and Boundedness of the Energy  (Alain Haraux)....Pages 49-54
 Existence of Forced Oscillations  (Alain Haraux)....Pages 55-64
 Stability of Periodic or Almost Periodic Solutions  (Alain Haraux)....Pages 65-71
 The Conservative Case in One Spatial Dimension  (Alain Haraux)....Pages 73-82
 The Conservative Case in Several Spatial Dimensions  (Alain Haraux)....Pages 83-90
 Recent Evolutions and Perspectives  (Alain Haraux)....Pages 91-98
Back Matter ....Pages 99-102