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Oscillatory Behaviour of a First-Order Neutral Differential Equation in relation to an Old Open Problem

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  • K. C. Panda
  • R. N. Rath
  • S. K. Rath

Abstract

In this paper, we obtain sufficient conditions for oscillation and nonoscillation of the solutions of the neutral delay differential equation , where for each and are all continuous functions and for each . Further, each , , and as . This paper improves and generalizes some known results.

Suggested Citation

  • K. C. Panda & R. N. Rath & S. K. Rath, 2020. "Oscillatory Behaviour of a First-Order Neutral Differential Equation in relation to an Old Open Problem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-11, May.
    • Handle: RePEc:hin:jijmms:9383481
    DOI: 10.1155/2020/9383481
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