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OSCILLATORY BEHAVIOR OF SECOND-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM

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In this paper, a class of second-order half-linear neutral differential equations with damping term is studied. We present some new oscillatory criteria for the equation by establishing a new lemma and using the new comparison theorems. Several examples are given to illustrate our mail results.

Abstract

In this paper, a class of second-order half-linear neutral differential equations with damping term is studied. We present some new oscillatory criteria for the equation by establishing a new lemma and using the new comparison theorems. Several examples are given to illustrate our mail results.

참고문헌 (19)

  1. G.S.Ladde, "Oscillation Theory of Differential Equations with Deviating Arguments" (1987), Dekker
  2. L.H.Erbe, "Oscillation Theory for Functional Differential Equations" (1995), Marcel Dekker
  3. B.Bacul´ıkov´a, "Oscillation theorems for second-order nonlinear neutral differential equations", Comput. Math. Appl, 62, pp.4472~4478 (2011)
  4. T.Li, "Oscillation of second-order neutral differential equations", Funkc. Ekvacioj, 56, pp.111~120 (2013)
  5. C.Zhang, "Oscillation of second-order half-linear differential equations with several neutral terms", J. Appl. Math. Comput., 44, pp.511~518 (2014)
  6. B. Bacul´ıkov´a, "Oscillation theorems for second-order superlinear neutral differential equations", Math. Slovaca., 63, pp.123~134 (2013)
  7. Z. Xu, "Oscillation of second-order neutral equations with distributed deviating arguments", J. Comput. Appl. Math., 202, pp.460~477 (2007)
  8. T. Li,, "Oscillation criteria for second-order superlinear neutral differential equations", Abstr. Appl. Anal., 2011, pp.1~17 (2011)
  9. M. Hasanbulli, "Oscillation criteria for second order nonlinear neutral differential equations", Appl. Math. Comput., 215, pp.4392~4399 (2010)
  10. C. Zhang, "New oscillation results for second-order neutral delay dynamic equations", Adv. Differ. Equ., 2012, pp.1~14 (2012)
  11. Ch. G. Philos, "Oscillation theorems for linear differential equations of second order", Arch. Math., 53, pp.482~492 (1989)
  12. J.Yan, "Oscillation theorems for second order linear differential equations with damping", Proc. Amer. math. Soc., 98, pp.276~282 (1986)
  13. M. Cecchi, "Oscillatory and nonoscillatory behavior of a second order functional differential equation", Rocky Mount. J. Math., 22, pp.1259~1276 (1992)
  14. Yu. V. Rogovchenko,, "On oscillation of a second order nonlinear delay differential equation", Funkcial. Ekvac., 43, pp.1~29 (2000)
  15. Q.Zhang, "Oscillatory behavior of a second order nonlinear differential equation with damping", Journal of Systems Science and Mathematical Science, 24(3), pp.296~302 (2004)
  16. Q.Zhang, "Oscillatory behavior of solutions for a class of second order nonlinear differential equation with damping", Pure and Applied Mathematics, 24(4), pp.646~653 (2008)
  17. Q.Zhang, "Oscillatory and asymptotic behavior of a second-order nonlinear functional differential equations", Commun. Theore. Phys., 57(6), pp.914~922 (2012)
  18. T. Candan, "The existence of nonoscillatory solutions of higher order nonlinear neutral equa-tions", Appl. Math. Lett., 25, pp.412~416 (2012)
  19. T. Candan, "Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments", Math. Slovaca, 63, pp.183~190 (2013)

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