๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An estimate of numbers of terms of semicycles of delay difference equations

โœ Scribed by Yong Zhou; B.G. Zhang


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

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, we study the semicycles of oscillatory solutions of the delay difference equation Yn+1 -Yn 4-Pnyn-k = O, where {Pn} is a sequence of nonnegative real numbers and k is a positive integer. Upper bound of numbers of terms of semicycles are determined in the case when v,>a, a< \V~-~/ ' i=n--k for I% ~ n O.

Our results improve and complement known results in literature.


๐Ÿ“œ SIMILAR VOLUMES


The semicycles of solutions of delay dif
โœ Bing Gen Zhang; Yong Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 331 KB

In this paper, we study the semicycles of oscillatory solutions of the delay difference equation Yn+l -Yn + PnYn-k = 0, where {Pn} is a sequence of nonnegative real numbers and k is a positive integer. Upper bound of numbers of terms of semicycles are determined. ~

Semicycles of solutions of nonlinear dif
โœ B.G. Zhang; Yong Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

In this paper, we study the semicycles of oscillatory solutions of nonlinear difference equation with several delays l 77~i i=1 j=l where {Pi(n)} is a real sequence with Pi(n) >\_ 0 for all large n; I, rni, kij are positive integers, c~ij rrl i

Oscillation of Nonlinear Delay Differenc
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