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New Oscillation Criteria for Delay Difference Equations

โœ Scribed by X.H. Tang; R.Y. Zhang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
494 KB
Volume
42
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Xn+l-xn+~-~Pi(n)xn-kl =0, n = 0,1,2,..., (**) i=1 where {Pn} and {pi(n)} are sequences of nonnegative real numbers and k and ki are positive integers. New oscillation criteria of the forms limsup Pn > a + C(a) n~oo for equation (*) and rn n-t-k i limsupZ E pi(s) > 1 n~oo /=1 s=n for equation (**) are obtained, where (~ liminfn~oo (l/k) n-1 = Y~i=n-k Pi and C(a) is "the best possible" function of c~ in some sense.

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