Oscillating solutions of scalar delay-differential equations with state dependence
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 27 (1) , 217-227
- https://doi.org/10.1080/00036818808839734
Abstract
This paper is concerned with the oscillatory behavior of the delay-differential equation X'(t)=F(t,xt) including the equations x'(t)=-a(t)x(t-r(t,x(t))), [display math001] as special cases.We give conditions for the existence of a nonoscillatory solution of (1) and criteria for the oscillation of all solutions of (1), aiming at extending or generalizing to (1) some of the recent oscillation and nonoscillation results for delay equations of the form x'(t)=-a(t)x(t-p)).Keywords
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