The reduced operators of singularly perturbed Wiener–Hopf matrices

Article type: Research Article

Authors: Wendt, W.D.

Affiliations: Institut für Angewandte Mathematik, 5300 Bonn 1, Fed. Rep. Germany

Abstract: The reduced problem is formulated for singularly perturbed pseudodifferential equations with unknown potentials and with general boundary conditions. Several classes of problems of this type have previously been investigated in [2,5,6,7]. The stability theory [5,7] and the asymptotic analysis [6,7] for coercive singularly perturbed problems without potentials is extended to the above class of problems. Systems of singular integral equations on the half line were investigated in [8], using Wiener–Hopf factorization. Wiener–Hopf matrix operators without small parameter have been introduced and investigated in [10,12].

DOI: 10.3233/ASY-1988-1106

Journal: Asymptotic Analysis, vol. 1, no. 1, pp. 61-93, 1988