A Note on an Oscillation Criterion for an
Equation with a Functional Argument
1968 ◽
Vol 11
(4)
◽
pp. 593-595
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Keyword(s):
It might be thought that, as far as the oscillation of solutions is concerned, the behaviour ofandwould be the same as long as t - α(t) → ∞ as t→∞. To motivate the theorem presented in this note, we show first that this is not the case. Consider the above equation with α(t) = 3t/4, a(t) = l/2t2 i.e.This equation has the non-oscillatory solution y(t) = t1/2 although all solutions ofare oscillatory [1, p. 121].
1986 ◽
Vol 9
(1)
◽
pp. 105-109
1996 ◽
Vol 39
(3)
◽
pp. 275-283
◽
1978 ◽
Vol 25
(2)
◽
pp. 195-200
1992 ◽
Vol 35
(1)
◽
pp. 121-131
◽
1978 ◽
Vol 81
(3-4)
◽
pp. 195-210
◽
1968 ◽
Vol 11
(5)
◽
pp. 743-745
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1988 ◽
Vol 40
(6)
◽
pp. 1301-1314
◽
1972 ◽
Vol 13
(1)
◽
pp. 75-79
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Keyword(s):