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A note on a paper of Bowcock and Yu
- Source :
- Bulletin of the Australian Mathematical Society. 40:421-424
- Publication Year :
- 1989
- Publisher :
- Cambridge University Press (CUP), 1989.
-
Abstract
- Consider the first order differential equation (1) , where pi, and τi, for i = 1,…,n, are positive constants. To find necessary and sufficient conditions, in terms of the coefficients and the delays only, under which all solutions of (1) oscillate, is a problem of great importence. In a recent paper, Bowcock and Yu claimed that is a necessary and sufficient condition for all solutions of (1) to be oscillatory. In this paper a counterexample shows that the above result is not valid and the error in this paper is indicated.
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi.dedup.....6617e3282cbfd161b607806a30410356