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Some comparison criteria in oscillation theory

Authors :
Ch. G. Philos
Source :
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 36:176-186
Publication Year :
1984
Publisher :
Cambridge University Press (CUP), 1984.

Abstract

The purpose of this paper is to establish comparison criteria, by which the oscillatory and asymptotic behavior of linear retarded differential equations of arbitrary order is inherited from the oscillation of an associated second order linear ordinary differential equation. These criteria are new even in the case of ordinary differential equations.

Details

ISSN :
02636115
Volume :
36
Database :
OpenAIRE
Journal :
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
Accession number :
edsair.doi...........1edd15982a6c78dedc79282eeb8950ad
Full Text :
https://doi.org/10.1017/s1446788700024630