Vol. 83, No. 1, 1979
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Comparison theorems for delay differential equations

Wadi Mahfoud
Vol. 83 (1979), No. 1, 187–197
DOI: 10.2140/pjm.1979.83.187
Abstract

Comparison Theorems. This paper presents a technique for extending some oscillation results from ordinary to delay differential equations. According to the technique, if an oscillation result is known for the ordinary differential equation

x(n) + f(t,x) = 0,

the corresponding result for the delay differential equation

x(n)(t)+ f(t,x(q(t))) = 0

may be obtained by a simple change of variables.
Mathematical Subject Classification
Primary: 34K15
Milestones
Received: 21 March 1978
Revised: 20 March 1979
Published: 1 July 1979
Authors
Wadi Mahfoud