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

Authors
Thandapani, E Raavi, K
Citation
E. Thandapani et K. Raavi, Bounded and monotone properties of solutions of second-order quasilinear forced difference equations, COMPUT MATH, 38(2), 1999, pp. 113-121
Citations number
21
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
2
Year of publication
1999
Pages
113 - 121
Database
ISI
SICI code
0898-1221(199907)38:2<113:BAMPOS>2.0.ZU;2-9
Abstract
The authors consider the quasilinear difference equation Delta (p(n-1)(Delta y(n-1))(alpha)) = q(n)y(n)(beta) + r(n) and obtain results on the asymptotic behavior of solutions of (*) including sufficient conditions for all solutions to be bounded or unbounded. Some r esults on the existence and behavior of nonincreasing solutions of (*) are also obtained. Examples are inserted to illustrate the results. (C) 1999 El sevier Science Ltd. All rights reserved.