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Oscillation of higher-order half-linear neutral differential equations

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Języki publikacji
EN
Abstrakty
EN
In this paper, we establish some new oscillation criteria for the higher-order half-linear neutral differential equation (…). An example is given to illustrate the main results.
Wydawca
Rocznik
Strony
101--109
Opis fizyczny
Bibliogr. 22 poz.
Twórcy
autor
  • School of Information and Control Engineering, Weifang University Weifang, Shandong 261061, P R China
autor
  • School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, P R China
  • Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai, India
Bibliografia
  • [1] J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
  • [2] R. P. Agarwal, S. R. Grace, D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic, Dordrecht, 2000.
  • [3] I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon, Oxford, 1991.
  • [4] L. H. Erbe, Q. Kong, B. G. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995.
  • [5] Ch. G. Philos, Oscillation theorems for linear differential equations of second order, Arch. Math. 53 (1989), 482–492.
  • [6] I. P. Stavroulakis, Nonlinear delay differential inequalities, Nonlinear Anal. TMA 6 (1982), 389–396.
  • [7] A. Zafer, Oscillation criteria for even order neutral differential equations, Appl. Math. Lett. 11 (1998), 21–25.
  • [8] B. Karpuz, Ö. Öcalan, S. Öztürk, Comparison theorems on the oscillation and asymptotic behavior of higher-order neutral differential equations, Glasgow Math. J. 52 (2010), 107–114.
  • [9] B. Baculíková, J. Džurina, Oscillation of third-order neutral differential equations, Math. Comput. Modelling 52 (2010), 215–226.
  • [10] B. Baculíková, J. Džurina, On the asymptotic behavior of a class of third order non-linear neutral differential equations, Cent. Eur. J. Math. 8 (2010), 1091–1103.
  • [11] J. Džurina, Oscillation theorems for neutral differential equations of higher order, Czech. Math. J. 54 (2004), 107–117.
  • [12] F. Meng, R. Xu, Oscillation criteria for certain even-order quasi-linear neutral differential equations with deviating arguments, Appl. Math. Comput. 190 (2007), 458–464.
  • [13] Z. Han, T. Li, S. Sun, Y. Sun, Remarks on the paper [Appl. Math. Comput. 207 (2009), 388–396], Appl. Math. Comput. 215 (2010), 3998–4007.
  • [14] Z. Han, T. Li, C. Zhang, Y. Sun, Oscillation criteria for a certain second-order nonlinear neutral differential equations of mixed type, Abstr. Appl. Anal. Article ID: 387483, 2011 (to appear).
  • [15] Z. Han, T. Li, C. Zhang, S. Sun, Oscillatory behavior of solutions of certain third-order mixed neutral functional differential equations, Bulletin of the Malaysian Mathematical Sciences Society, 2011 (to appear).
  • [16] T. Li, Comparison theorems for second-order neutral differential equations of mixed type, Electron. J. Diff. Equ. 167 (2010), 1–7.
  • [17] T. Li, Z. Han, C. Zhang, S. Sun, On the oscillation of second-order Emden–Fowler neutral differential equations, J. Appl. Math. Comput., 2010 (to appear).
  • [18] T. Li, Z. Han, C. Zhang, H. Li, Oscillation criteria for second-order superlinear neutral dfferential equations, Abstr. Appl. Anal. Article ID: 367541, 2011 (to appear).
  • [19] T. Li, Z. Han, P. Zhao, S. Sun, Oscillation of even-order neutral delay differential equations, Adv. Differ. Equ. Article ID: 184180, 2010 (2010), 1–9.
  • [20] T. Li, E. Thandapani, Oscillation of solutions to odd-order nonlinear neutral functional differential equations, Electron. J. Diff. Equ. 23 (2011), 1–12.
  • [21] S. Sun, T. Li, Z. Han, Y. Sun, Oscillation of second-order neutral functional differential equations with mixed nonlinearities, Abstr. Appl. Anal. Article ID: 927690, 2011 (2011), 1–15.
  • [22] Q. Zhang, J. Yan, L. Gao, Oscillation behavior of even-order nonlinear neutral differential equations with variable coefficients, Comput. Math. Appl. 59 (2010), 426–430.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d05e4747-40ec-49ff-a986-2cde3a1e8689
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