Sufficient Conditions for the Oscillation of Bounded Solutions of a Class of Impulsive Differential Equations of Second Order with a Constant Delay

نویسندگان

  • D. D. BAINOV
  • M. B. DIMITROVA
چکیده

The last twenty years have seen a significant increase in the number of papers devoted to the oscillation theory of differential equations with a deviating argument. The main part of these investigations is given in the monographs [1], [2], [3]. On the other hand, the last decade has been marked by a growing interest in impulsive differential equations due to their various applications in science and technology. In the monographs [4] and [5] numerous aspects of their qualitative theory are studied. However, the oscillation theory of impulsive differential equations has not yet been worked out. In the present paper we obtain sufficient conditions for the oscillation of bounded solutions of a class of impulsive differential equations of second order with a constant delay and fixed moments of the impulse effect.

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تاریخ انتشار 2002