Distribution of zeros of solutions of a fourth order differential equation

Allan C. Peterson

Vol. 30 (1969), No. 3, 751–764

DOI: 10.2140/pjm.1969.30.751

Abstract

The primary concern of this paper is to study the distribution of zeros of solutions, that have at least four zeros, two or more of which are distinct zeros, of the canonical fourth order equation

(E4)

where r_i(x) > 0,r_i(x),q_j(x) ∈ C[a,∞),i = 1,2,3,j = 1,2,3,4, which was introduced by Barrett.

Mathematical Subject Classification

Primary: 34.42

Milestones

Received: 28 August 1968

Revised: 13 January 1969

Published: 1 September 1969