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Bounded and monotone properties of solutions of second-order quasilinear forced difference equations

โœ Scribed by E. Thandapani; K. Ravi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
449 KB
Volume
38
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

The authors consider the quasilinear difference equation

and obtain results on the asymptotic behavior of solutions of (*) including sufficient conditions for all solutions to be bounded or unbounded. Some results on the existence and behavior of nonincreasing solutions of (*) are also obtained. Examples are inserted to illustrate the results. (~) 1999 Elsevier Science Ltd. All rights reserved.

๐Ÿ“œ SIMILAR VOLUMES

Monotone properties of certain classes o
Monotone properties of certain classes of solutions of second-order difference equations
โœ E. Thandapani; M.M.S. Manuel; J.R. Graef; P.W. Spikes ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 346 KB

## +1 and a(a.a=.) = q.l(x.+1), where an > 0, qn > 0, and I : It --\* It is continuous with u.f(u) > 0 for u ~ 0. They obtain necessary and sufficient conditions for the asymptotic behavior of certain types of nonoscilhtory solutions of (\*) and sufficient conditions for the asymptotic behavior o