Journal of Applied Analysis 04 (1998), No. 1, 063--074
Copyright Heldermann Verlag 1998
Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients
D. D. Bainov
Medical University, 1504 Sofia, Bulgaria
M. B. Dimitrova
Technical University, Sliven, Bulgaria
P. S. Simeonov
Higher Aviation School, Pleven, Bulgaria
[Abstract-pdf]
The impulsive equation with retarded argument $$x'(t) + a(t) x(t) + p(t) x(t- \tau) = 0, \quad t\ne t_k,$$ $$\Delta x(t_k) + a_k x(t_k) + p_k(t_k - \tau) = 0,$$ is considered, where the function $p(t)$ and the sequence $\{p_k\}$ are not of constant sign. Sufficient conditions are found for oscillation of all solutions to the equation under consideration.
Keywords: Impulsive differential equations, oscillatory properties, retarded argument.
MSC: 34A37
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