Name
Title | ||
|---|---|---|
New criteria for the oscillation and existence of monotone solutions of second-order nonlinear difference equations |
Abstract | ||
|---|---|---|
We obtain sufficient conditions for the oscillation of the perturbed difference equation Delta(a(n-1)(Delta gamma(n-1))(sigma)) + F(n,gamma(n)) = G(n,gamma(n), Delta gamma(n)), n greater than or equal to 1 as well as for the existence of monotone solutions of the nonlinear difference equation Delta(a(n-1)(Delta gamma(n-1))(sigma))+k(n)f(gamma(p(n))) = 0, n greater than or equal to 1, where 0 < sigma = p/q with p even and q odd integers, and some incorrect results in a recent paper are pointed out. Examples which illustrate the importance of our results are also included. (C) 2000 Elsevier Science Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1016/S0096-3003(99)00091-0 | Applied Mathematics and Computation |
Keywords | Field | DocType |
oscillation,monotone solution,difference equation | Integer,Nonlinear difference equation,Differential equation,Monotonic function,Mathematical optimization,Oscillation,Nonlinear system,Mathematical analysis,Function composition,Monotone polygon,Mathematics | Journal |
Volume | Issue | ISSN |
114 | 1 | 0096-3003 |
Citations | PageRank | References |
2 | 0.86 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mingshu Peng | 1 | 15 | 5.67 |
| Weigao Ge | 2 | 158 | 46.20 |
| Qianli Xu | 3 | 90 | 15.17 |