Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments
1982 ◽
Vol 32
(3)
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pp. 295-317
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Keyword(s):
AbstractThis paper deals with some asymptotic properties of nonoscillatory solutions of a class of n-th order (n < 1) differential equations with deviationg arguments involving the so called n-th order r-derivative of the unknown function x defined bywhere ri (i = 0,1…n) are positive continous functions on [t0, ∞). The fundamental purpose of this paper is to find for any integer m, 0 < m < n – 1, a necessary and sufficient condition (depending on m) in order that three exists at least one (nonoscillatory) solution x so that the exists in R – {0} The results obtained extend some recent ones due to Philos (1978a) and they prove, in a general setting, the validity of a conjecture made by Kusano and Onose (1975).
1990 ◽
Vol 32
(2)
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pp. 180-192
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1992 ◽
Vol 52
(2)
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pp. 261-284
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1986 ◽
Vol 9
(4)
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pp. 781-784
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1990 ◽
Vol 42
(2)
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pp. 315-341
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1979 ◽
Vol 31
(2)
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pp. 255-263
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1978 ◽
Vol 26
(1)
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pp. 31-45
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2020 ◽
Vol 100
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pp. 106040
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1972 ◽
Vol 18
(2)
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pp. 129-136
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1981 ◽
Vol 89
(1-2)
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pp. 25-50
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1996 ◽
Vol 39
(3)
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pp. 275-283
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