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Journal of Difference Equations and Applications Volume 21, 2015 - Issue 9
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Articles

Iterative oscillation tests for difference equations with several non-monotone arguments

E. BravermanDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive N. W, Calgary, Canada, AB T2N 1N4Correspondence[email protected]
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,
G.E. ChatzarakisDepartment of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 14121, N. Heraklio, Athens, GreeceView further author information
&
I.P. StavroulakisDepartment of Mathematics, University of Ioannina, 451 10Ioannina, GreeceView further author information
Pages 854-874 | Received 22 Jan 2015, Accepted 04 May 2015, Published online: 02 Jul 2015

References

  • L. Berezansky, and E. Braverman, On existence of positive solutions for linear difference equations with several delays, Adv. Dyn. Syst. Appl. 1 (2006), pp. 29–47.
  • E. Braverman, and B. Karpuz, On oscillation of differential and difference equations with non-monotone delays, Appl. Math. Comput. 218 (2011), pp. 3880–3887.
  • G.E. Chatzarakis, T. Kusano, and I.P. Stavroulakis, Oscillation conditions for difference equations with several variable arguments, Math. Bohem. (in press)
  • G.E. Chatzarakis, J. Manojlovic, S. Pinelas, and I.P. Stavroulakis, Oscillation criteria of difference equations with several deviating arguments, Yokohama Math. J. 60 (2014), pp. 13–31.
  • G.E. Chatzarakis, S. Pinelas, and I.P. Stavroulakis, Oscillations of difference equations with several deviated arguments, Aequationes Math. 88 (2014), pp. 105–123.
  • R.G. Koplatadze, and G. Kvinikadze, On the oscillation of solutions of first order delay differential inequalities and equations, Georgian Math. J. 3 (1994), pp. 675–685.
  • X. Li, and D. Zhu, Oscillation of advanced difference equations with variable coefficients, Ann. Differ. Equ. 18 (2002), pp. 254–263.
  • X.N. Luo, Y. Zhou, and C.F. Li, Oscillations of a nonlinear difference equation with several delays, Math. Bohem. 128 (2003), pp. 309–317.
  • I.P. Stavroulakis, Oscillation criteria for delay and difference equations with non-monotone arguments, Appl. Math. Comput. 226 (2014), pp. 661–672.
  • X.H. Tang, and J.S. Yu, Oscillation of delay difference equations, Comput. Math. Appl. 37 (1999), pp. 11–20.
  • X.H. Tang, and R.Y. Zhang, New oscillation criteria for delay difference equations, Comput. Math. Appl. 42 (2001), pp. 1319–1330.
  • X. Wang, Oscillation of delay difference equations with several delays, J. Math. Anal. Appl. 286 (2003), pp. 664–674.
  • W. Yan, Q. Meng, and J. Yan, Oscillation criteria for difference equation of variable delays, DCDIS Proc. 3 (2005), pp. 641–647.
  • B.G. Zhang, and C.J. Tian, Nonexistence and existence of positive solutions for difference equations with unbounded delay, Comput. Math. Appl. 36 (1998), pp. 1–8.
  • B.G. Zhang, and Y. Zhou, Oscillations of difference equations with several delays, Comput. Math. Appl. 44 (2002), pp. 817–821.

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