An asymptotic analysis of an odd order linear differential equation

David Lowell Lovelady

Vol. 57 (1975), No. 2, 475–480

DOI: 10.2140/pjm.1975.57.475

Abstract

Let q be a continuous function from [0,∞) to (0,∞), and let n be a positive integer. With respect to the equation u⁽²ⁿ⁺¹⁾ + qu = 0, we study the relationship between the existence of oscillatory solutions and the asymptotic behavior of nonoscillatory solutions.

Mathematical Subject Classification 2000

Primary: 34C10

Milestones

Received: 29 October 1974

Revised: 4 March 1975

Published: 1 April 1975