Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping

Show more

References

[1] Q. R. Wang, “Oscillation Criteria for Nonlinear Second Order Damped Differential Equations,” Acta Mathematica Hungarica, Vol. 102, No. 1-2, 2004, pp. 117-139.

[2] R. P. Agarwal and S. R. Grace, “On the Oscillation of Certain Second Order Differential Equations,” Georgian Mathematical Journal, Vol. 7, No. 2, 2000, pp. 201-213.

[3] B. Ayanlar and A. Tiryaki, “Oscillation Theorems for Nonlinear Second Order Differential Equations with Damping,” Acta Mathematica Hungarica, Vol. 89, No. 1-2, 2000, pp. 1-13. doi:10.1023/A:1026716923088

[4] S. R. Grace, “Oscillation Theorems for Nonlinear Differential Equations of Second Order,” Journal of Mathematical Analysis and Applications, Vol. 171, No. 1, 1992, pp. 220-241. doi:10.1016/0022-247X(92)90386-R

[5] I. V. Kamenev, “An Integral Criterion for Oscillation of Linear Differential Equations of Second Order,” Matematicheskie Zametki, Vol. 23, No. 2, 1978, pp. 136-138.

[6] M. Kirane and Y. V. Rogovchenko, “On Oscillation of Nonlinear Second Order Differential Equation with Damping Term,” Applied Mathematics and Computation, Vol. 117, No. 2-3, 2001, pp. 177-192.
doi:10.1016/S0096-3003(99)00172-1

[7] M. Kirane and Y. V. Rogovchenko, “Oscillation Results for a Second Order Damped Differential Equation with Nonmonotonous Nonlinearity,” Journal of Mathematical Analysis and Applications, Vol. 250, No. 1, 2000, pp. 118-138. doi:10.1006/jmaa.2000.6975

[8] H. J. Li, “Oscillation Criteria for Second Order Linear Differential Equations,” Journal of Mathematical Analysis and Applications, Vol. 194, No. 1, 1995, pp. 217-234.
doi:10.1006/jmaa.1995.1295

[9] W. T. Li, “Oscillation of Certain Second-Order Nonlinear Differential Equations,” Journal of Mathematical Analysis and Applications, Vol. 217, No. 1, 1998, pp. 1-14.
doi:10.1006/jmaa.1997.5680

[10] Ch. G. Philos, “Oscillation Theorems for Linear Differential Equations of Second Order,” Archiv der Mathematik, Vol. 53, No. 5, 1989, pp. 482-492.
doi:10.1007/BF01324723

[11] Y. V. Rogovchenko, “Oscillation Theorems for Second-Order Equations with Damping,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 41, No. 7-8, 2000, pp. 1005-1028. doi:10.1016/S0362-546X(98)00324-1

[12] Y. V. Rogovchenko, “On Oscillation of a Second Order Nonlinear Delay Differential Equation,” Funkcialaj Ekvacioj, Vol. 43, 2000, pp. 1-29.

[13] Y. V. Rogovchenko, “Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations,” Journal of Mathematical Analysis and Applications, Vol. 215, No. 2, 1997, pp. 334-357. doi:10.1006/jmaa.1997.5595

[14] Q. R. Wang, “Oscillation and Asymptotics for Second-Order Half-Linear Differential Equations,” Applied Mathematics and Computation, Vol. 122, No. 2, 2001, pp. 253-266. doi:10.1016/S0096-3003(00)00056-4

[15] Q. R. Wang, “Oscillation Criteria for Even Order Nonlinear Damped Differential Equations,” Acta Mathematica Hungarica, Vol. 95, No. 23, 2002, pp. 169-178.
doi:10.1023/A:1015676519998

[16] A. Tiryaki and A. Zafer, “Oscillation Criteria for Second order Nonlinear Differential Equations with Damping,” Turkish Journal of Mathematics, Vol. 24, 2000, pp. 185-196.

[17] J. Yan, “Oscillation Theorems for Second Order Linear Differential Equations with Damping,” Proceedings of the American Mathematical Society, Vol. 98, No. 2, 1986, pp. 276-282. doi:10.1090/S0002-9939-1986-0854033-4

[18] P. Hartman, “On Non-Oscillatory Linear Differential Equations of Second Order,” American Journal of Mathematics, Vol. 74, No. 2, 1952, pp. 389-400.
doi:10.2307/2372004

[19] A. Wintner, “A Criterion of Oscillatory Stability,” Quarterly of Applied Mathematics, Vol. 7, 1949, pp. 115-117.

[20] Y. V. Rogovchenko and F. Tuncay, “Oscillation Criteria for Second-Order Nonlinear Differential Equations with Damping,” Nonlinear Analysis, Vol. 69, No. 1, 2008, pp. 208-221. doi:10.1016/j.na.2007.05.012

[21] Y. V. Rogcvchenko and F. Tuncay, “Oscillation Theorems for a Class of Second Order Nonlinear Differential Equations with Damping,” Taiwanese Journal of Mathematics, Vol. 13, No. 6B, 2009, pp. 1909-1928.

[22] X. J. Wang and G. H. Song, “Oscillation Criteria for a Second-Order Nonlinear Damped Differential Equation,” International Journal of Information and Systems Sciences, Vol. 7, No. 1, 2011, pp. 73-82.