Abstract
The impulsive differential equation\(\begin{gathered} x\prime (t) + \sum\limits_{i = 1}^m {p_i (t)x(t - \tau _i ) = 0,} {\text{ }}t \ne \xi _k , \hfill \\ \Delta x(\xi _k ) = b_k x(\xi _k ) \hfill \\ \end{gathered} \) with several retarded arguments is considered, where p i(t) ≥ 0, 1 + b k > 0 for i = 1, ..., m, t ≥ 0, \(k \in \mathbb{N}\). Sufficient conditions for the oscillation of all solutions of this equation are found.
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Bainov, D.D., Dimitrova, M.B. & Petrov, V.A. Oscillatory Properties of Solutions of Impulsive Differential Equations With Several Retarded Arguments. Georgian Mathematical Journal 5, 201–212 (1998). https://doi.org/10.1023/B:GEOR.0000008120.87888.83
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DOI: https://doi.org/10.1023/B:GEOR.0000008120.87888.83