Abstract
This article concerns the oscillation of solutions to the delay differential equation \(x'(t)+p(t)x(\tau(t))=0\). Conditions for oscillation have been stated as lower bounds for the limit superior and limit inferior of \(\int_\tau^t p\). In this article we match the bound for the best case in [7], without using one of their hypotheses. Then assuming that hypothesis, we obtain a bound lower than the one in [12]. Then we apply our results to an equation with several delays. We employ iterated estimates of the solution. For more information see https://ejde.math.txstate.edu/Volumes/2021/32/abstr.html
Reference15 articles.
1. R. P. Agarwal, L. Berezansky, E. Braverman, A. Domoshnitsky; Nonoscillation Theory of Functional Differential Equations with Applications, Springer, 2012. MR 2908263
2. J. P. Dix, J. G. Dix; Oscillation of solutions to nonlinear first-order delay differential equa- tions, Involve, 9:3 (2016), 465-482.
3. L. H. Erbe, Qingkai Kong, B. G. Zhang; Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
4. A. Garab, M. Pituk, I. P. Stavroulakis; A sharp oscillation criterion for a linear delay differential equation, Appl. Math. Let. 93 (2019), 58-65.
5. I. Gyori, G. Ladas; Oscillation Theory of Delay Differential Equatiosn with Applications, Clarendon Press, Oxford, 1991.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献