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Oscillatory behavior of second-order damped differential equations with a superlinear neutral term

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Języki publikacji
EN
Abstrakty
EN
. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
Rocznik
Strony
629--639
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
  • Department of Mathematics Faculty of Arts and Sciences Tokat Gaziosmanpaga University 60240, Tokat, Turkey
  • Department of Mathematics Faculty of Arts and Sciences Tokat Gaziosmanpaga University 60240, Tokat, Turkey
Bibliografia
  • [1] B. Bacuhkova, J. Dzurina, Oscillation theorems for second-order nonlinear neutral differential equations, Comput. Math. Appl. 62 (2011), 4472-4478.
  • [2] B. Baculikova, T. Li, J. Dzurina, Oscillation theorems for second order neutral differential equations, Electron. J. Qual. Theory Differ. Equ. 2011 (2011), 1-13.
  • [3] M. Bohner, S.R. Grace, I. Jadlovska, Oscil lation criteria for second-order neutral delay differential equations, Electron. J. Qual. Theory Differ. Equ. 2017 (2017), 1-12.
  • [4] L. Erbe, T.S. Hassan, A. Peterson, Oscil lation of second order neutral delay differential equations, Adv. Dyn. Syst. Appl. 3 (2008), 53-71.
  • [5] S.R. Grace, J. Dzurina, I. Jadlovska, T. Li, An improved approach for studying oscil lation of second-order neutral delay differential equations, J. Inequal. Appl. 2018 (2018), Article ID 193, 1-13.
  • [6] S.R. Grace, J.R. Graef, E. Tunę, Oscillatory behavior of second order damped neutral differential equations with distributed deviating arguments, Miskolc Math. Notes 18 (2017), 759-769.
  • [7] S.R. Grace, I. Jadlovska, Oscil lation criteria for second-order neutral damped differential equations with delay argument, Dynamical Systems - Analytical and Computational Techniques, INTECH, Chapter 2, 2017, 31-53.
  • [8] T. Li, R.P. Agarwal, M. Bohner, Some oscil lation results for second-order neutral dynamic equations, Hacet. J. Math. Stat. 41 (2012), 715-721.
  • [9] T. Li, Y.V. Rogovchenko, Oscil lation theorems for second-order nonlinear neutral delay differential equations, Abstr. Appl.Anal. 2014 (2014), Article ID 594190, 1-5.
  • [10] T. Li, Y.V. Rogovchenko, C. Zhang, Oscil lation results for second-order nonlinear neutral differential equations, Adv. Difference Equ. 2013 (2013), Article ID 336, 1-13.
  • [11] T. Li, E. Thandapani, J.R. Graef, E. Tunę, Oscillation of second-order Emden-Fowler neutral differential equations, Nonlinear Stud. 20 (2013), 1-8.
  • [12] S. Ruan, Oscil lations of second order neutral differential equations, Canad. Math. Bull. 36 (1993), 485-496.
  • [13] S.H. Saker, Oscil lation of second-order neutral delay dynamic equations of Emden-Fowler type, Dynam. Syst. Appl. 15 (2006), 629-644.
  • [14] E. Thandapani, S. Padmavathi, S. Pinelas, Classifications of solutions of second-order nonlinear neutral differential equations of mixed type, Adv. Difference Equ. 2012 (2012), Article ID 226, 1-13.
  • [15] E. Tunę, S.R. Grace, On oscillatory and asymptotic behavior of a second-order nonlinear damped neutral differential equation, Int. J. Differ. Equ. 2016 (2016), Article ID 3746368, 1-8.
  • [16] E. Tunę, J.R. Graef, Oscillation results for second order neutral dynamic equatitons with distributed deviating arguments, Dynam. Syst. Appl. 23 (2014), 289-303.
  • [17] E. Tunę, A. Kaymaz, On oscillation of second-order linear neutral differential equations with damping term, Dynam. Syst. Appl. 28 (2019), 289-301.
  • [18] E. Tunę, A. Kaymaz, Oscillatory behavior of second-order half-linear neutral differential equations with damping, Adv. Dyn. Syst. Appl. 14 (2019), 213-227.
  • [19] J.S.W. Wong, Necessary and sufficient conditions for oscil lation of second order neutral differential equations, J. Math. Anal. Appl. 252 (2000), 342-352.
Uwagi
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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
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Bibliografia
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