Oscillatory Behaviour of a First-Order Neutral Differential Equation in relation to an Old Open Problem
2020 ◽
Vol 2020
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pp. 1-11
Keyword(s):
In this paper, we obtain sufficient conditions for oscillation and nonoscillation of the solutions of the neutral delay differential equation yt−∑j=1kpjtyrjt′+qtGygt−utHyht=ft, where pj and rj for each j and q,u,G,H,g,h, and f are all continuous functions and q≥0,u≥0,ht<t,gt<t, and rjt<t for each j. Further, each rjt, gt, and ht⟶∞ as t⟶∞. This paper improves and generalizes some known results.
2001 ◽
Vol 14
(2)
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pp. 189-194
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1994 ◽
Vol 49
(1)
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pp. 69-79
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1988 ◽
Vol 31
(4)
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pp. 459-466
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2013 ◽
Vol 54
(1)
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pp. 83-92
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2002 ◽
Vol 29
(4)
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pp. 245-249
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1994 ◽
Vol 17
(2)
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pp. 361-368
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1989 ◽
Vol 2
(4)
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pp. 267-275
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