Asymptotics for a class of weighted eigenvalue problems

Philip William Walker

Vol. 40 (1972), No. 2, 501–510

DOI: 10.2140/pjm.1972.40.501

Abstract

Abstract: This paper deals with the asymptotic behavior at infinity of the solutions to l(y) = λwy on [a,∞) where l is an n-th order ordinary linear differential operator, 2 is a nonzero complex number and w is a suitably chosen positive valued continuous functions. As an application the deficiency indices of certain symmetric differential operators in Hilbert space are computed.

Mathematical Subject Classification 2000

Primary: 34D05

Secondary: 34B25

Milestones

Received: 19 January 1971

Published: 1 February 1972