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Oscillatory results for second-order noncanonical delay differential equations

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Języki publikacji
EN
Abstrakty
EN
The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.
Rocznik
Strony
483--495
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
  • Technical University of Kosice Faculty of Electrical Engineering and Informatics Department of Mathematics and Theoretical Informatics B. Nemcovej 32, 042 00 Kosice, Slovakia
  • Technical University of Kosice Faculty of Electrical Engineering and Informatics Department of Mathematics and Theoretical Informatics B. Nemcovej 32, 042 00 Kosice, Slovakia
  • Department of Mathematics University of Ioannina 451 10 Ioannina, Greece
  • Al-Farabi Kazakh National University Faculty of Mathematics and Mechanics Almaty, 050040 Kazakhstan
Bibliografia
  • [1] R.P. Agarwal, M. Bohner, W.-T. Li, Nonoscillation and Oscillation: Theory for Functional Differential Equations, vol. 267, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 2004.
  • [2] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Second Order Linear, Half-linear, Superlinear and Sublinear Dynamic Equations, Kluwer Academic Publishers, Dordrecht, 2002.
  • [3] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Second Order Dynamic Equations, vol. 5, Series in Mathematical Analysis and Applications, Taylor & Francis, Ltd., London, 2003.
  • [4] R.P. Agarwal, S.R. Grace, D. O'Regan, Oscillation Theory for Difference and Functional Differential Equations, Springer Science & Business Media, 2013.
  • [5] R.P. Agarwal, C. Zhang, T. Li, Some remarks on oscillation of second order neutral differential equations, Appl. Math. Comput. 274 (2016), 178-181.
  • [6] O. Dosly, P. Rehak, Half-linear Differential Equations, vol. 202, North-Holland Mathematics Studies, Elsevier Science B.V., Amsterdam, 2005.
  • [7] J. Dźurina, I. Jadlovska, A note on oscillation of second-order delay differential equations, Appl. Math. Lett. 69 (2017), 126-132.
  • [8] J. Dźurina, I.P. Stavroulakis, Oscillation criteria for second-order delay differential equations, Appl. Math. Comput. 140 (2003) 2-3, 445-453.
  • [9] L. Erbe, T.S. Hassan, A. Peterson, Oscillation criteria for nonlinear damped dynamic equations on time scales, Appl. Math. Comput. 203 (2008) 1, 343-357.
  • [10] L. Erbe, A. Peterson, S.H. Saker, Oscillation criteria for second-order nonlinear delay dynamic equations, J. Math. Anal. Appl. 333 (2007) 1, 505-522.
  • [11] I. Gyori, G. Ladas, Oscillation Theory of Delay Differential Equations, Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 1991.
  • [12] T.S. Hassan, Oscillation criteria for second-order nonlinear dynamic equations, Adv. Difference Equ. 171 (2012) 13, 2012.
  • [13] R. Mafik, Remarks on the paper by Sun and Meng, Appl. Math. Comput. 17Ą (2006), Appl. Math. Comput. 248 (2014), 309-313.
  • [14] S.H. Saker, Oscillation criteria of second-order half-linear dynamic equations on time scales, J. Comput. Appl. Math. 177 (2005) 2, 375-387.
  • [15] Y.G. Sun, F.W. Meng, Note on the paper of J. Dźurina and I. P. Stavroulakis: "Oscillation criteria for second-order delay differential equations", Appl. Math. Comput. 174 (2006) 2, 1634-1641.
  • [16] L. Ye, Z. Xu, Oscillation criteria for second order quasilinear neutral delay differential equations, Appl. Math. Comput. 207 (2009) 2, 388-396.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-baedb5f5-d50e-434d-80e0-9c1038e523f6
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