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Warianty tytułu
Języki publikacji
Abstrakty
In this paper, sufficient conditions for oscillation of the second order differential equations with several sublinear neutral terms are established. The results obtained generalize and extend those reported in the literature. Several examples are included to illustrate the importance and novelty of the presented results.
Czasopismo
Rocznik
Tom
Strony
753--763
Opis fizyczny
Bibliogr, 24 poz.
Twórcy
autor
- Department of Mathematics Faculty of Electrical Engineering and Informatics Technical University of Kosice Letna 9, 042 00 Kosice, Slovakia
Bibliografia
- [1] R.P. Agarwal, M. Bohner, W.T. Li, Nonoscillation and Oscillation: Theory of Functional Differential Equations, Marcel Dekker, New York, 2004.
- [2] R.P. Agarwal, M. Bohner, T. Li, C. Zhang, Oscillation of second order differential equations with a sublinear neutral term, Carpathian J. Math. 30 (2014), 1-6.
- [3] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations, Kluwer, Dordrecht, 2002.
- [4] B. Baculikova, J. Dzurina, Oscillation theorems for second order nonlinear neutral differential equations, Comput. Math. Appl. 61 (2011), 94-99.
- [5] B. Baculikova, T. Li, J. Dzurina, Oscillation theorems for second order superlinear neutral differential equations, Math. Slovaca 63 (2013), 123-134.
- [6] M. Bohner, S.R. Grace, I. Jadlovska, Oscillation criteria for second order neutral delay differential equation, Electron. J. Qual. Theory Differ. Equ. 62 (2017), 1-12.
- [7] J. Dzurina, R. Kotorova, Zero points of the solutions of a differential equation, Acta Electrotechnica et Informatica 7 (2007), 26-29.
- [8] L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory For Functional Differential Equations, Marcel Dekker, New York, 1995.
- [9] S.R. Grace, B.S. Lalli, Oscillation of nonlinear second order neutral delay differential equations, Rad. Math. 3 (1987), 77-84.
- [10] J.K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
- [11] G.H. Hardy, J.E. Littlewood, G. Polya, Inequalities, Cambridge University Press, London, 1934.
- [12] M. Hasanbulli, Yu.V. Rogovchenko, Oscillation criteria for second order nonlinear neutral differential equations, Appl. Math. Comput. 215 (2010), 4392-4399.
- [13] I. Jadlovska, Application of Lambert W function in oscillation theory, Acta Electrotech-nica et Informatica 14 (2014), 9-17.
- [14] G.S. Ladde, V. Lakshmikanthan, B.G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York, 1987.
- [15] T. Li, Z. Han, C. Zhang, S. Sun, On the oscillation of second order Emden-Fowler neutral differential equations, J. Appl. Math. Computing 37 (2011), 601-610.
- [16] T. Li, R.P. Agarwal, M. Bohner, Some oscillation results for second order neutral differential equations, J. Indian Math. Soc. 79 (2012), 97-106.
- [17] T. Li, Yu.V. Rogovchenko, C. Zhang, Oscillation of second order neutral differential equations, Funkc. Ekvac. 56 (2013), 111-120.
- [18] T. Li, M.T. Senel, C. Zhang, Oscillation of solutions to second order half-linear differential equations with neutral terms, Eletronic J. Differ. Equ. 2013 (2013) 229, 1-7.
- [19] T. Li, E. Thandapani, J.R. Greaf, E. Tune, Oscillation of second order Emden-Fowler neutral differential equations, Nonlinear Stud. 20 (2013), 1-8.
- [20] S. Tamilvanan, E. Thandapani, J. Dzurina, Oscillation of second order nonlinear differential eqation with sublinear neutral term, Diff. Equ. Appl. 9 (2017), 29-35.
- [21] S. Tamilvanan, E. Thandapani, S.R. Grace, Oscillation theorems for second-order non-linear differential equation with a non-linear neutral term, Int. J. Dyn. Syst. Differ. Equ. 7 (2017), 316-327.
- [22] E. Thandapani, R. Rama, Comparison and oscillation theorems for second order nonlinear neutral differential equations, Serdica Math. J. 39 (2013), 1-16.
- [23] R. Xu, F.W. Meng, Oscillation criteria for second order quasilinear neutral delay differential equations, Appl. Math. Comput. 192 (2007), 216-222.
- [24] C. Zhang, M.T. Senel, T. Li, Oscillation of second order half-linear differential equations with several neutral terms, J. Appl. Math. Comput. 44 (2014), 511-518.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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