Oscillations in Higher-Order Neutral Differential Equations
1993 ◽
Vol 45
(1)
◽
pp. 132-158
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Keyword(s):
AbstractConsider the n-th order (n ≥ 1 ) neutral differential equation where σ1 < σ 2 < ∞ and μ and η are increasing real-valued functions on [Ƭ1, Ƭ2] and [σ1, σ2] respectively. The function μ is assumed to be not constant on [Ƭ1, Ƭ2] and [Ƭ1, Ƭ2] for every Ƭ ∈ (Ƭ1, Ƭ2) similarly, for each σ ∈ (σ1, σ2), it is supposed that r\ is not constant on [σ1 , σ] and [σ, σ2]. Under some mild restrictions on Ƭ1,- and σ1, (ι = 1,2), it is proved that all solutions of (E) are oscillatory if and only if the characteristic equation of (E) has no real roots.
1992 ◽
Vol 46
(1)
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pp. 149-157
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1992 ◽
Vol 52
(2)
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pp. 261-284
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1991 ◽
Vol 43
(1)
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pp. 147-152
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1990 ◽
Vol 33
(4)
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pp. 442-451
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1989 ◽
Vol 39
(1)
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pp. 71-80
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1992 ◽
Vol 15
(3)
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pp. 509-515
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1996 ◽
Vol 48
(4)
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pp. 871-886
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2013 ◽
Vol 44
(1)
◽
pp. 99-112
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