๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On convergence of solutions of a second order nonlinear difference equations

โœ Scribed by Jaroslaw Morchalo


Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
126 KB
Volume
12
Category
Article
ISSN
1598-5865

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Positive Solutions of Second Order Nonli
โœ Bing Liu; Sui Sun Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 131 KB

Necessary and sufficient conditions are obtained for existence of positive solutions of a nonlinear difference equation. Relations between this equation and an advanced type nonlinear difference equation are also discussed.

The asymptotic behavior of solutions of
โœ E. Thandapani; S.L. Marian ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 365 KB

In this paper, we study the boundedness and monotomclty properties of solutions of the difference equation A(r,-l&,-l) + qn(A~n)" -~4 = e,, where {rn}, {q,,}, {p,,}, and {e,} are real sequences and a and p are ratios of odd posltlve integers Examples lllustratmg our results are included

Periodic solutions of second-order nonli
โœ Ronald E. Mickens ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are

Oscillation of solutions for second-orde
โœ Zhenguo Zhang; Jianfeng Chen; Caishun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 290 KB

Some Riccati type difference inequalities are given for the second-order nonlinear difference equations with nonlinear neutral term A(anA(Xn -4-~(vt, xr,.))) + qnf(xg,.) = 0 and using these inequalities, we obtain some oscillation criteria for the above equation. (~) 2001 Elsevier Science Ltd. All r