Stability and index of periodic solutions of a nonlinear telegraph equation

Pages: 823 - 837, Volume 4, Issue 4, December 2005

doi:10.3934/cpaa.2005.4.823       Abstract        Full Text (253.7K)       Related Articles

Rafael Ortega - Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (email)

Abstract: For a class of abstract evolution equations, the topological index is sufficient to characterize the stability of periodic solutions. This fact can be applied to discuss the stability properties in the sine-Gordon equation with friction and periodic forcing.

Keywords:  Asymptotic stability, topological degree, periodic solution, sine-Gordon equation
Mathematics Subject Classification:  Primary: 37L15; Secondary: 35B10, 35B35, 35L70

Received: December 2004;      Revised: April 2005;      Published: September 2005.