Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 137, pp. 1-13.

Title: Positivity and stability for a system of transport equations with
       unbounded boundary perturbations

Authors: Ciro D'Apice (Univ. degli Studi di Salerno, Italy)
         Brahim El habil (Cadi Ayyad Univ., Marrakesh, Morocco)
	 Abdelaziz Rhandi (Univ. degli Studi di Salerno, Italy)

Abstract:
 This article concerns wellposedness, positivity and spectral
 properties of the solution of a system of transport equations with
 unbounded boundary perturbations. In particular we obtain that
 the rescaled solution converges to the unique steady-state solution
 as time approaches infinity on a weighted L^1-space.
 
Submitted September 16, 2009. Published October 25, 2009.
Math Subject Classifications: 47D06, 46B42, 34D05, 34G10, 47A10, 47A55, 47B65.
Key Words: System of transport equations; C_0-semigroup;
    irreducibility; dominant eigenvalue; asymptotic properties;
    unbounded boundary perturbation.