OSCILLATION OF NONLINEAR FOURTH-ORDER DIFFERENCE EQUATIONS WITH MIDDLE TERM

___

  • R.P. Agarwal, Diğ erence equations and inequalities. Marcel Dekker, Second Edition, New York, 2000.
  • R.P. Agarwal, S.R. Grace, P.J.Y. Wong, Oscillatory behavior of fourth order nonlinear dif- ference equations, New Zealand J. Math., 36 (2007), 101-111.
  • R.P. Agarwal, S.R. Grace, J.V. Manojlovi´c, On the oscillatory properties of certain fourth order nonlinear diğ erence equations, J. Math. Anal. Appl., 322 (2006), 930-956.
  • R.P. Agarwal, J.V. Manojlovi´c, Asymptotic behavior of positive solutions of fourth order nonlinear diğ erence equations, Ukrainian Math. J. 60 (2008), 6-28.
  • R.P. Agarwal, J.V. Manojlovi´c, Asymptotic behavior of nonoscillatory solutions of fourth order nonlinear diğ erence equations, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., (2009), 155-174.
  • M. Bartusek, Z. Došlá, Asymptotic problems for fourth-order nonlinear diğ erential equations, Bound. Value Probl. (2013), 2013:89, 15 pp.
  • M. Bartusek, M. Cecchi, Z. Dosla, M. Marini, Fourth-order diğ erential equation with deviat- ing argument, Abstr. Appl. Anal. (2012), Art. ID 185242, 17 pp.
  • M. Cecchi, Z. Došlá, M. Marini, Limit behavior for quasilinear diğ erence equations, Proceed- ing of the Sixth International Conference on Diğerence Equation, (2004), 383-390.
  • M. Cecchi, Z. Došlá, M. Marini, I. Vrkoµc, Asymptotic properties for half-linear diğ erence equation, Math. Bohem., 131 (2006), No. 4, 347-363
  • M. Cecchi , Z. Došlá, M. Marini, Positive decreasing solutions of quasi-linear diğ erence equations, Comput. Math. Appl. 42 (2001), no. 10-11, 1401-1410.
  • Z. Došlá, J. Krejµcová, Oscillation of a class of the fourth-order nonlinear diğ erence equations, Adv. Diğerence Equ. (2012), 2012:99, 14 pp.
  • Z. Došlá, J. Krejµcová, Asymptotic and oscillatory properties of the fourth-order nonlinear diğ erence equations, Appl. Math. Comput. 249 (2014), 164-173.
  • J. W. Hooker, W. T. Patula, A second-order nonlinear diğ erence equation: oscillation and asymptotic behavior, J. Math. Anal. Appl. 91 (1983), no. 1, 9-29.
  • R. Jankowski, E. Schmeidel, J. Zonenberg, Oscillatory properties of solutions of the fourth order diğ erence equations with quasidiğ erences, Opuscula Math. 34 (2014), no. 4, 789-797.
  • W. G. Kelley, A. C. Peterson, Diğ erence equations: An introduction with applications, 2nd ed., Academic Press, Boston, 2001.
  • M. Migda, A. Musielak, E. Schmeidel, On a class of fourth-order nonlinear diğ erence equa- tions, Adv. Diğerence Equ. (2004), no. 1, 23-36.
  • W. T. Patula, Growth and oscillation properties of second order linear diğ erence equations, SIAM J. Math. Anal. 10 (1979), no. 1, 55-61.
  • T. Peil, A. Peterson, Asymptotic behavior of solutions of a two term diğ erence equation, Rocky Mountain J. Math. 24 (1994), no. 1, 233-252.
  • E. Schmeidel, Oscillation and nonoscillation theorems for fourth order diğ erence equations, Rocky Mountain J. Math. 33 (2003), no. 3, 1083-1094.
  • Current address : Ankara University, Faculty of Sciences, Dept.of Mathematics, Ankara, TURKEY E-mail address : ekavgaci@ankara.edu.tr ORCID Address: http://orcid.org/0000-0002-8605-4346