Abstract
The delay differential equation with piecewise constant argument x′(t)+a(t)x(t)+b(t) x ([t—k])=0 is considered, where a(t) and b(t) are continuous functions on [—k, ∞), b(t)≥0, k is a positive integer and [·] denotes the greatest integer function. Some new oscillation and nonoscillation conditions are obtained.
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Zhiguo, L., Jianhua, S. Oscillation of delay differential equations with piecewise constant argument. Appl. Math. Chin. Univ. 15, 383–390 (2000). https://doi.org/10.1007/s11766-000-0034-3
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DOI: https://doi.org/10.1007/s11766-000-0034-3