OSCILLATION CRITERIA FOR HALF-LINEAR FUNCTION DIFFERENTIAL EQUATIONS WITH DAMPING

Abstract

In this paper, a class of half-linear functional differential equations with damping are studied. By using the generalized Riccati transformation and integral average skills, new oscillation criteria are obtained which generalize and improve some known results.

Keywords

Dates

  • Submission Date2013-09-01
  • Revision Date2014-05-02
  • Acceptance Date2014-07-01
  • Online Date2015-01-04

DOI Reference

10.2298/TSCI1405537L

References

  1. Zhang Q., et al., Oscillation Criteria for Even-Order Half-Linear Functional Differential Equation, Applied Mathematics Letters, 24 (2011), 3, pp.1709-1715
  2. Zhang Q., et al., Oscillation and Asymptotic Analysis on a New Generalized Emden-Fowler Equation, Appl. Math, 219 (2012), 5, pp. 2739-2748
  3. Li, H. J., Oscillation Criteria for Half-Linear Second Order Differential Equations, Hiroshima Math. J. 25 (1995), 6, pp. 571-583
  4. Abdel, L. M., Some Exact Solutions of KdV Equation with Variable Coefficients, Commun. Nonlinear. Sci. Numer. Simel. 16 (2011), pp.1783-1786
  5. Liu, H., Meng, F., Oscillation and Asymptotic Analysis on a New Generalized Emden-Fowler Equation, Applied Mathematics and Computation 219 (2012), pp. 2739-2748
  6. Liu J., et al., Linear Stability Analysis and Homoclinic Orbit for a Generalized Non-Linear Heat Transfer, Thermal Science, 16 (2012), 5, pp. 1656-1659
  7. Wintner, A., Criterion of Oscillatory Stability, Quart. Appl. Math, 7 (1949), pp. 115-117
  8. Kamenev, I. V., An Integral Criterion for Oscillation of Linear Differential Equations of Second Order, Math. Zametki, 23 (1978), 3, pp. 249-251
  9. Li, H. J., Yeh, C. C., An Integral Criterion for Oscillation of Nonlinear Differential Equations, Math. Japonica, 41 (1995), pp. 185-188
  10. Philos, C. G., Oscillation Theorems for Linear Differential Equations of Second Order, Arch. Math. 53 (1989), pp. 482-492
  11. Wang, P. G., et al., Oscillation Properties for Even Order Neutral Equations with Distributed Deviating Arguments, J. Comput. Appl. Math.182 (2005), pp. 290-303
  12. Agarwal, R. P., Grace, S. O., Oscillation Criteria for Certain nth Order Differential Equations with Deviating Arguments, J. Math. Anal. Appl. 262 (2001), pp. 601-622
  13. Dosly, O., Lomtatidze, A., Oscillation and Nonoscillation Criteria for Half-Linear Second Order Differential Equations, Hiroshima Math. J. 36 (2006), pp. 203-219
  14. Hsu, H. B., Yeh, C. C., Oscillation Theorems for Second-Order Half-Linear Differential Equations, Appl. Math. Lett., 9 (1999), pp. 71-77
  15. Wang, Q. R., Oscillation and Asymptotics for Second-Order Half-Linear Differential Equations, Appl. Math. Comput. 122 (2001), pp. 253-266
  16. Xu, R., Meng, F., Some New Oscillation Criteria for Second Order Quasi-Linear Neutral Delay Differential Equation, Appl. Math. Comput. 182 (2006), pp. 797-803
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