Stability and index of periodic solutions of a nonlinear telegraph equation
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
Received: December 2004; Revised: April 2005; Published: September 2005.
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