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Oscillation Criteria for Second Order Nonlinear Delay Equations

Published online by Cambridge University Press:  20 November 2018

Lynn Erbe
Lynn Erbe*
Affiliation:
University of Alberta, Edmonton, Alberta
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It is the purpose of this paper to establish oscillation criteria for second order nonlinear differential equations with retarded argument. Specifically, we consider the equation

1.1

where f ∊ C[0, + ∞) x R2, g ∊ C[0, + ∞), and

1.2

We shall restrict attention to solutions of (1.1) which exist on some ray [T, + ∞). A solution of (1.1) is called oscillatory if it has no largest zero.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 1 , March 1973 , pp. 49 - 56
Copyright
Copyright © Canadian Mathematical Society 1973

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