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Abstrakty
Consider the fourth order quasilinear difference equation of the form where {pn} is a positive sequence and {qn} is a sequence of non-negative reals, a and ,3 are ratios of odd positive integers. We obtain some new sufficient conditions for the oscillation of all solutions of equation (*). Examples are inserted to illustrate the importance of our results.
Czasopismo
Rocznik
Tom
Strony
109-119
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
autor
- Department of Mathematics, Periyar University Salem-636011, Tamilnadu, India, ethandapani@yahoo.co.in
Bibliografia
- [1] AGARWAL R.P., Difference Equations and Inequalities, Marcel Dekker. Second Edition, NewYork, 2000.
- [2] ANDERSON D.R., A fourth order nonlinear difference equations. J. Diff. Eqn. AppL, 9(2003), 161-169.
- [3] HOOKER J.W., PATULA W.T., A second order nonlinear difference equation, oscillation and asymptotic behavior, J. Math. Anal. AppL, 91(1983), 9-24.
- [4] HOOKER J.W., PATULA W.T., Growth and oscillation properties of solutions of fourth order linear difference equations, J. Austral. Math. Soc.Ser. B, 26(1985), 310-328..
- [5] POPENDA J., SCHMEIDAL E., On the solutions of fourth order difference equations, Rocky Mountain J. Math., 25(1995), 1485-1499.
- [6] GRAEF J.R., THANDAPANI E., Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations, Fasci. Math., 31(2001), 23-36.
- [7] THANDAPANI E., MAHALINGAM K., Oscillatory properties of third order neutral delay difference equations, Demon. Math., 35(2002), 325-337.
- [8] ZHANG G., CHENGS.S., Elementary non-existence criteria for a recurrence relation, Chinese J. Math., 24(1996), 229-235.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPP1-0069-0086