Vol. 35, No. 2, 1970

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ISSN: 0030-8730
Oscillation theorems for second order linear differential equations

Lynn Harry Erbe

Vol. 35 (1970), No. 2, 337–343
Abstract

It is the purpose of this paper to show that oscillation of the linear second order equation

(r(t)x′)′ + p(t)x = 0
(1)

implies oscillation of the equation

(r1(t)x′)′ + a(t)p1(t)ixj = 0
(2)

for a large class of positive functions a(t), where the following condition holds for all large t:

r(t) ≧ r1(t) > 0,p(t) ≦ p1(t).
(H)

We shall also assume that the functions r(t),r1(t),p(t),p1(t), and a(t) are continuous on some half line [T,+).

Mathematical Subject Classification
Primary: 34.42
Milestones
Received: 15 October 1969
Published: 1 November 1970
Authors
Lynn Harry Erbe