Oscillation criteria for certain second order nonlinear difference equations
1999 ◽
Vol 60
(1)
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pp. 95-108
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Keyword(s):
This paper is concerned with nonlinear difference equations of the formwhere δ is the forward difference operator defined by δun−1 = un − un −1 δ2un −1= δ(δun-1) and {an} is a real sequence which is not assumed to be nonnegative. The function f is such that uf(u) < 0 for all u ≠ 0 and f(u) − f(v) = g(u, v)(u − v), for all u, v ≠ 0, and for some nonnegative function g. Our results are not only new but also improve and generalise some recent oscillation criteria. Examples illustrating the importance of our main results are also given.
1991 ◽
Vol 118
(1-2)
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pp. 139-151
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2005 ◽
Vol 42
(2)
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pp. 245-256
2020 ◽
Vol 5
(4)
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pp. 663-681
1999 ◽
Vol 37
(6)
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pp. 17-30
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Keyword(s):
1996 ◽
Vol 39
(3)
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pp. 525-533
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2021 ◽
Vol 1964
(2)
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pp. 022020