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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

Oscillation Results for Second-Order Quasi-Linear NeutralDelay Differential Equations

Tongxing Lİ
Shurong SUN
Zhenlai HAN
Bangxian HAN
- -
Yibing SUN
Sayfa
131–138
Yayın Tarihi
2013-02-01
DOI
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Özet

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Abstract

In this paper, some new oscillation criteria are obtained for the secondorder quasi-linear neutral delay differential equationr(t)| x(t) + p(t)x(τ (t)) |α−1x(t) + p(t)x(τ (t))+ f t, x(σ(t)) = 0, t ≥ tunder the case when∞ t r α (t) ment some known results in the literature. An example is also providedto illustrate the main results.

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Bu Makaleye Atıf Yap

Lİ, T., SUN, S., HAN, Z., HAN, B., -, -., SUN, Y. (2013). Oscillation Results for Second-Order Quasi-Linear NeutralDelay Differential Equations. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 131–138. https://ajindex.com/articles/669608

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Kaynakça (14)

  1. J. K. Hale, Theory of Functional Differential Equations, Spring-Verlag, New York, 1977.
  2. R. P. Agarwal, S. L. Shieh, C. C. Yeh, Oscillation criteria for second order retarded differential equations, Math. Comput. Modelling 26, 1–11, 1997.
  3. J. L. Chern, W. Ch. Lian, C. C. Yeh, Oscillation criteria for second order half-linear differential equations with functional arguments, Publ. Math. Debrecen 48, 209–216, 1996. J. Dˇ zurina, I. P. Stavroulakis, Oscillation criteria for second-order delay differential equations, Appl. Math. Comput. 140, 445–453, 2003.
  4. T. Kusano, N. Yoshida, Nonoscillation theorems for a class of quasilinear differential equations of second-order, J. Math. Anal. Appl. 189, 115–127, 1995.
  5. T. Kusano, Y. Naito, Oscillation and nonoscillation criteria for second order quasilinear differential equations, Acta Math. Hungar. 76, 81–99, 1997.
  6. D. D. Mirzov, On the oscillation of solutions of a system of differential equations, Math. Zametki 23, 401–404, 1978. J. Dˇ zurina, D. Hud´ akov´ a, Oscillation of second order neutral delay differential equations, Math. Bohem. 134, 31–38, 2009. B. Bacul´ıkov´ a, D. Lackov´ a, Oscillation criteria for second order retarded differential equations, Studies of the University of Zilina, Mathematical Series. 20, 11–18, 2006. B. Bacul´ıkov´ a, J. Dˇ zurina, Oscillation of third-order neutral differential equations, Math. Comput. Modelling 52, 215–226, 2010.
  7. L. Liu, Y. Bai, New oscillation criteria for second-order nonlinear neutral delay differential equations, J. Comput. Math. Appl. 231, 657–663, 2009.
  8. R. Xu, F. Meng, Some new oscillation criteria for second order quasi-linear neutral delay differential equations, Appl. Math. Comput. 182, 797–803, 2006.
  9. J. G. Dong, Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments, Comput. Math. Appl. 59, 3710–3717, 2010.
  10. L. H. Ye, Z. T. Xu, Oscillation criteria for second-order quasilinear neutral delay differential equations, Appl. Math. Comput. 207, 388–396, 2009.
  11. Z. Han, T. Li, S. Sun, Y. Sun, Remarks on the paper [Appl. Math. Comput. 207 (2009) 388–396], Appl. Math. Comput. 215, 3998–4007, 2010.
  12. Z. Han, T. Li, S. Sun, W. Chen, On the oscillation of second-order neutral delay differential equations, Adv. Differ. Equ. 2010, 1–8, 2010.
  13. Z. Han, T. Li, S. Sun, W. Chen, Oscillation criteria for second-order nonlinear neutral delay differential equations, Adv. Differ. Equ. 2010, 1–23, 2010.
  14. T. Li, Z. Han, P. Zhao, S. Sun, Oscillatio