Stability and index of periodic solutions of a nonlinear telegraph equation

Rafael Ortega

doi:10.3934/cpaa.2005.4.823

Article Contents

2005, Volume 4, Issue 4: 823-837. Doi: 10.3934/cpaa.2005.4.823

This issue Previous Article On the dimension of the attractor for a class of fluids with pressure dependent viscosities Next Article The Boussinesq system:dynamics on the center manifold

Stability and index of periodic solutions of a nonlinear telegraph equation

Rafael Ortega^1,

1.
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada

Received: November 30, 2004

Revised: March 31, 2005

Published: November 2005

Abstract Related Papers Cited by

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:

Mathematics Subject Classification: Primary: 37L15; Secondary: 35B10, 35B35, 35L70.

Citation:

Article Metrics

HTML views() PDF downloads(153) Cited by(0)

Stability and index of periodic solutions of a nonlinear telegraph equation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Stability and index of periodic solutions of a nonlinear telegraph equation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content