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Języki publikacji
Abstrakty
. 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.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
629--639
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Department of Mathematics Faculty of Arts and Sciences Tokat Gaziosmanpaga University 60240, Tokat, Turkey
autor
- 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
PL
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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