THERMAL SCIENCE
International Scientific Journal
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
PAPER SUBMITTED: 2013-09-01
PAPER REVISED: 2014-05-02
PAPER ACCEPTED: 2014-07-01
PUBLISHED ONLINE: 2015-01-04
THERMAL SCIENCE YEAR
2014, VOLUME
18, ISSUE
Issue 5, PAGES [1537 - 1542]
- Zhang Q., et al., Oscillation Criteria for Even-Order Half-Linear Functional Differential Equation, Applied Mathematics Letters, 24 (2011), 3, pp.1709-1715
- Zhang Q., et al., Oscillation and Asymptotic Analysis on a New Generalized Emden-Fowler Equation, Appl. Math, 219 (2012), 5, pp. 2739-2748
- Li, H. J., Oscillation Criteria for Half-Linear Second Order Differential Equations, Hiroshima Math. J. 25 (1995), 6, pp. 571-583
- Abdel, L. M., Some Exact Solutions of KdV Equation with Variable Coefficients, Commun. Nonlinear. Sci. Numer. Simel. 16 (2011), pp.1783-1786
- Liu, H., Meng, F., Oscillation and Asymptotic Analysis on a New Generalized Emden-Fowler Equation, Applied Mathematics and Computation 219 (2012), pp. 2739-2748
- 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
- Wintner, A., Criterion of Oscillatory Stability, Quart. Appl. Math, 7 (1949), pp. 115-117
- Kamenev, I. V., An Integral Criterion for Oscillation of Linear Differential Equations of Second Order, Math. Zametki, 23 (1978), 3, pp. 249-251
- Li, H. J., Yeh, C. C., An Integral Criterion for Oscillation of Nonlinear Differential Equations, Math. Japonica, 41 (1995), pp. 185-188
- Philos, C. G., Oscillation Theorems for Linear Differential Equations of Second Order, Arch. Math. 53 (1989), pp. 482-492
- 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
- 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
- Dosly, O., Lomtatidze, A., Oscillation and Nonoscillation Criteria for Half-Linear Second Order Differential Equations, Hiroshima Math. J. 36 (2006), pp. 203-219
- Hsu, H. B., Yeh, C. C., Oscillation Theorems for Second-Order Half-Linear Differential Equations, Appl. Math. Lett., 9 (1999), pp. 71-77
- Wang, Q. R., Oscillation and Asymptotics for Second-Order Half-Linear Differential Equations, Appl. Math. Comput. 122 (2001), pp. 253-266
- 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