Determining stability of pulses for partial differential equations with time delays

摘要: Partial differential equations with time delays serve as models for systems where both spatial structure and memory effects are important. The asymptotic stability of travelling waves in such is still determined entirely by the spectrum linearization about wave. We compare spectra localized on unbounded real line computed large intervals appropriate boundary conditions applied at their end points. show that approximates when periodic used. If separated applied, it so-called absolute together extended point approximated; union typically differs from line.