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Języki publikacji
Abstrakty
Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form [formula] where α > 0 and z(t) = x(t) + p(t)x(t - ϒ). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
719--730
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
autor
autor
- Mansoura University Department of Mathematics, Faculty of Science Mansoura, Egypt, emelabbasy@mans.edu.eg
Bibliografia
- [1] I. Gyori, G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Oxford, 1991.
- [2] L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
- [3] X.Z. Liu, X.L. Fu, Nonlinear differential inequalities with distributed deviating argument and applications, Nonlinear World 4 (1994), 409–427.
- [4] Y.H. Yu, X.L. Fu, Oscillation of second order neutral equation with continuous distributed deviating argument, Rad. Mat. 7 (1991), 167–176.
- [5] J.K. Hale, Theory of Functional Differential Equations, Springer Verlag, New York, 1997.
- [6] S. Ruan, Oscillation of second-order neutral delay differential equations, Can. Math. Bull. 36 (1993), 485–496.
- [7] Y. Sahiner, On oscillation of second-order neutral type delay differential equations, Appl. Math. Comput. 150 (2004), 697–706.
- [8] P.G. Wang, Oscillation criteria for second-order neutral equations with distributed deviating arguments, Comput. Math. Appl. 47 (2004), 1935–1946.
- [9] Z.T. Xu, P.X. Weng, Oscillation of second-order neutral equations with distributed deviating arguments, J. Comput. Appl. Math. 202 (2007), 460–477.
- [10] A. Tiryaki, Oscillation criteria for a certain second-order nonlinear differential equations with deviating arguments, Electron. J. Differential Equations 61 (2009), 1–11.
- [11] Jiu-Gang Dong, Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments, Appl. Math. Comput. 59 (2010), 3710–3717.
- [12] G. Gui, Z.T. Xu, Oscillation criteria for second-order neutral equations with distributed deviating arguments, Electron. J. Differential Equations 10 (2007), 1–11.
- [13] Samir H. Saker, Oscillation Theory of Delay Differential and Difference Equations, Mansoura University, 2010.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHS-0007-0008