| Title | OSCILLATION CRITERIA FOR CERTAIN FOURTH ORDER NONLINEAR DIFFERENCE EQUATIONS |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | GRACE, SAIDR, AGARWAL, RAVIP, PINELAS, SANDRA |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 3 |
| Start Page | 337 |
| Pagination | 342 |
| Date Published | 08/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| Abstract | We shall establish some new criteria for the oscillation of the fourth order nonlinear difference equation
 via comparison with some difference equations of less order whose oscillatory characters are known.
|
| URL | http://www.acadsol.eu/en/articles/14/3/5.pdf |
| Short Title | OSCILLATION CRITERIA |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 1992.
[2] R. P. Agarwal and P. J. Y. Wong, Advanced Topics in Difference Equations, Kluwer, Dordrecht, 1997. [3] R. P. Agarwal, M. Bohner, S. R. Grace and D. O’Regan, Discrete Oscillation Theory, Hindawi Publisher, New York, 2005. [4] J. H. Hooker and W. T. Patula, Growth and oscillation properties of solutions of a fourth order linear difference equation, J. Austral. Math. Soc. Ser. B, 26 (1985), 310–328. [5] J. Popenda and E. Schmeidal, On the solutions of fourth order difference equations, Rocky Mountain J. Math., 25 (1995), 1485–1499. [6] B. Smith and W. E. Taylor Jr., Oscillations and asymptotic behavior of fourth order difference equations, Rocky Mountain J. Math., 16 (1986), 401–406. [7] W. E. Taylor Jr., Oscillation properties of fourth order difference equations, Portugal Math., 45 (1988), 105–114. [8] W. E. Taylor Jr., Fourth order difference equations: Oscillations and nonoscillations, Rocky Mountain J. Math., 23 (1993), 781–795. [9] J. Yan and A. Liu, Oscillatory and asymptotic behavior of fourth order difference equations, Acta Math. Sinica, 13 (1997), 105–115. |