The asymptotic behavior of solutions of nonlinear second-order difference equations

Authors
Thandapani, E Marian, SL
Citation
E. Thandapani et Sl. Marian, The asymptotic behavior of solutions of nonlinear second-order difference equations, APPL MATH L, 14(5), 2001, pp. 611-616
Citations number
12
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
5
Year of publication
2001
Pages
611 - 616
Database
ISI
SICI code
0893-9659(200107)14:5<611:TABOSO>2.0.ZU;2-9
Abstract
In this paper, we study tile boundedness and monotonicity properties of sol utions of tile difference equation Delta (r(n-1) Deltay(n-1)) + q(n)(Deltay(n))(beta) - p(n)y(n)(alpha) = e(n) , where {r(n)}, {q(n)}, {p(n)}, and {e(n)} are real sequences and alpha and b eta are ratios of odd positive integers. Examples illustrating our results are included. (C) 2001 Elsevier Science Ltd. All rights reserved.