ACTA issues

Essential spectrum of systems of singular differential equations

Orif O. Ibrogimov, Heinz Langer, Matthias Langer, Christiane Tretter

Acta Sci. Math. (Szeged) 79:3-4(2013), 423-465

Abstract. In this paper we develop a new method to determine the essential spectrum of coupled systems of singular differential equations. Applications to problems from magnetohydrodynamics and astrophysics are given.

AMS Subject Classification (1991): 47A10, 34L05, 47A55, 76E99

Keyword(s): essential spectrum, singular differential systems, matrix differential operators

Received December 1, 2012, and in revised form July 22, 2013. (Registered under 100/2012.)