Oscillation of second-order half-linear difference equations

Authors
Thandapani, E Ravi, K
Citation
E. Thandapani et K. Ravi, Oscillation of second-order half-linear difference equations, APPL MATH L, 13(2), 2000, pp. 43-49
Citations number
11
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
13
Issue
2
Year of publication
2000
Pages
43 - 49
Database
ISI
SICI code
0893-9659(200002)13:2<43:OOSHDE>2.0.ZU;2-U
Abstract
Some new oscillation criteria are obtained for the second-order half-linear difference equation Delta (p(n)(Delta x(n))(alpha)) + q(n)x(n+1)(alpha) = 0, n = 0, 1, 2, ..., where alpha > 0 is a ratio of odd positive integers. The method uses techni ques based on a Riccati type difference inequality. Examples are inserted t o illustrate the results. (C) 2000 Elsevier Science Ltd. All rights reserve d.