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Oscillation criteria for even order neutral difference equations

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form [formula] where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.
Rocznik
Strony
91--108
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
  • Department of Mathematics Presidency College Chennai - 600 005, India
  • Department of Mathematics Presidency College Chennai - 600 005, India
  • University of Madras Ramanujan Institute for Advanced Study in Mathematics Chennai - 600 005, India
autor
  • RUDN University 6 Miklukho-Maklaya Str., 117198, Moscow, Russia
Bibliografia
  • [1] R. Ali-Hamouri, A. Zein, Oscillation criteria for certain even order neutral delay differential equations, Inter. J. Diffential Equ. 2014 (2014), Article ID 437278, 5 pp.
  • [2] R.P. Agarwal, Difference Equations and Inequalities, Theory, Methods and Applications, 2nd ed., Marcel Dekker, New York, 2000.
  • [3] R.P. Agarwal, S.R. Grace, Oscillation criteria for certain higher order difference equations, Math. Sci. Res. J. 6 (2002), 60-64.
  • [4] R.P. Agarwal, S.R. Grace, E.A. Bohner, On the oscillation of higher order neutral difference equations of mixed type, Dynam. Systems Appl. 11 (2002), 459-470.
  • [5] R.P. Agarwal, S.R. Grace, D. O'Regan, On the oscillation of higher order difference equations, Soochow J. Math. 31 (2005), 245-259.
  • [6] R.P. Agarwal, E. Thandapani, P.J.Y. Wong, Oscillation of higher order neutral difference equations, Appl. Math. Lett. 10 (1997), 71-78.
  • [7] R.P. Agarwal, M. Bohner, S.R. Grace, D. O'Regan, Discrete Oscillation Theory, Hindawi, New York, 2005.
  • [8] Y. Bolat, O. Akin, Oscillatory behavior of higher order neutral type functional difference equation with oscillating coefficient, Appl. Math. Lett. 17 (2004), 1073-1078.
  • [9] S.R. Grace, Oscillation of certain neutral difference equations of mixed type, J. Math. Anal. Appl. 224 (1998), 241-254.
  • [10] I. Gyori, G. Ladas, Oscillation Theorey of Delay Differential Equations with Applications, Claredon Press, Oxford, 1991.
  • [11] M. Migda, On the discrete version of generalized Kiguradzes lemma, Fasci. Math. 35 (2005), 1-7.
  • [12] D. Seghar, S. Selvarangam, E. Thandapani, Oscillation criteria for even order nonlinear neutral difference equation, Differ. Equ. Appl. 6 (2014), 441-453.
  • [13] E. Thandapani, Oscillation theorems for higher order nonlinear difference equations, Indian J. Pure Appl. Math. 25 (1994), 519-524.
  • [14] X.H. Tang, Y.J. Liu, Oscillation for nonlinear delay difference equations, Tamkang J. Math. 32 (2001), 275-280.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8fa8b295-e506-42e6-89aa-8fa621721e9b
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