Abstract

In this paper, the relation between the oscillatory behavior of the solutions of second order differential equation and the oscillatory behaviour of the solutions of the corresponding delay differential equation is established. Also a necessary and sufficient condition for every bounded solution of the delay differential equations to have nonooscillatory solutions is given. A.M.S.C.: 34C10, 34C11, 34K15. Key words: Zeros, oscillatory and nonoscillatory solutions.

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