On Localization of Spectrum of an Integro-Differential Convection-Diffusion-Reaction Operator.

Autor: Bahi, O., Khellaf, A., Guebbai, H.
Předmět:
Zdroj: Nonlinear Dynamics & Systems Theory; 2024, Vol. 24 Issue 5, p431-441, 11p
Abstrakt: The article explores the spectral properties of a non-self-adjoint integral-differential operator defined on an unbounded domain under Dirichlet-type conditions. Using pseudo-spectral theory, the study demonstrates that the operator's spectrum is localized in the real numbers. It focuses on the spectral analysis of convection-diffusion-reaction operators to assess stability and perturbation propagation, applying pseudo-spectral techniques by dividing the spatial domain.
Databáze: Complementary Index