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New results for oscillation of delay difference equations

โœ Scribed by Zhiguo Luo; Jianhua Shen

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
389 KB
Volume
41
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we consider the delay diff~ence equation Zn+l-Xn+Pnzn-k=O, n=0,1,2,..., where {p,) is a sequence of nonnegative real numbers and k is a positive integer. Some new results for the oscillation of this equation are obtained. Our theorems improve all known results in the literature. (~) 2001 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

New Oscillation Criteria for Delay Diffe
New Oscillation Criteria for Delay Difference Equations
โœ Zhiguo Luo; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

This paper considers the delay difference equation where p n is a sequence of nonnegative real numbers and k is a positive integer. Some new oscillation criteria for this equation are obtained. Our theorems improve all known results in the literature.

New Oscillation Criteria for Delay Diffe
New Oscillation Criteria for Delay Difference Equations
โœ X.H. Tang; R.Y. Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 494 KB

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 (\*\

New oscillation criteria for first-order
New oscillation criteria for first-order delay difference equations
โœ Jianchu Jiang; Xiaoping Li; Xianhua Tang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 382 KB

In this paper, some new oscillation criteria are obtained for the first-order delay difference equation k k Xn+I-x,~+ (k+l)k+l xn\_kรทf(n,x,~\_l~,...,xn\_t~) =0, n=0,1,2,..., where k,/1,/2,..., ls are positive integer numbers, f is a function. Our results improve the known results in the literature.

Oscillation of Nonlinear Delay Differenc
Oscillation of Nonlinear Delay Difference Equations
โœ X.H. Tang; J.S. Yu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

In this paper, two interesting oscillation criteria are obtained for all solutions of ลฝ . the nonlinear delay difference equations of the form y y y q p f y s 0, n s 0, 1, 2, . . . . Some applications are given to demonstrate the advantage of results obtained in this paper. Our results also improve