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Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments

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Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Strony
719--730
Opis fizyczny
Bibliogr. 13 poz.
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autor
autor
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
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