Oscillation results for second-order neutral differential equations of mixed type
By: Tongxing Li, Blanka Baculíková and Jozef Džurina
Open Access
|Nov 2012References
- [1] HALE, J. K.: Theory of Functional Differential Equations (2nd ed.), Springer-Verlag, New York, 1977.
- [2] PHILOS, CH. G.: Oscillation theorems for linear differential equations of second order, Arch. Math. (Basel) 53 (1989), 482-492.
- [3] AGARWAL, R. P.-SHIEH, S. L.-YEH, C. C.: Oscillation criteria for second order retarded differential equations, Math. Comput. Modelling 26 (1997), 1-11.
- [4] DˇZURINA, J.-STAVROULAKIS, I. P.: Oscillation criteria for second-order delay dif- ferential equations, Appl. Math. Comput. 140 (2003), 445-453.
- [5] SUN, Y. G.-MENG, F. W.: Note on the paper of Dˇzurina and Stavroulakis, Appl. Math. Comput. 174 (2006), 1634-1641.
- [6] BACUL´IKOV´A, B.: Oscillation criteria for second order nonlinear differential equations, Arch. Math. (Brno) 42 (2006), 141-149.
- [7] DˇZURINA, J.: Oscillation of second-order differential equations with mixed argument, J. Math. Anal. Appl. 190 (1995), 821-828.
- [8] ERBE, L.-KONG, Q.: Oscillation results for second order neutral differential equations, Funkcial. Ekvac. 35 (1992), 545-557.
- [9] GRAMMATIKOPOULOS, M. K.-LADAS, G.-MEIMARIDOU, A.: Oscillation of sec- ond order neutral delay differential equations, Rad. Mat. 1 (1985), 267-274.
- [10] GRACE, S. R.-LALLI, B. S.: Oscillation of nonlinear second order neutral delay differ- ential equations, Rad. Mat. 3 (1987), 77-84.
- [11] ZHANG, Q. X.-YAN, J. R.-GAO, L.: Oscillation behavior of even-order nonlinear neutral differential equations with variable coefficients, Comput. Math. Appl. 59 (2010), 426-430.
- [12] WANG, Q. R.: Oscillation theorems for first-order nonlinear neutral functional differen- tial equations, Comput. Math. Appl. 39 (2000), 19-28.
- [13] XU, Z. T.: Oscillation theorems related to averaging technique for second order Emden- -Fowler type neutral differential equations, Rocky Mountain J. Math. 38 (2008), 649-667.
- [14] HAN, Z.-LI, T.-SUN, S.-CHEN, W.: On the oscillation of second-order neutral delay differential equations, Adv. Differ. Equ. 2010 (2010), 1-8.
- [15] HAN, Z.-LI, T.-SUN, S.-SUN, Y.: Remarks on the paper [Appl. Math. Comput. 207 (2009), 388-396], Appl. Math. Comput. 215 (2010), 3998-4007.
- [16] LIU, L. H.-BAI, Y. Z.: New oscillation criteria for second-order nonlinear neutral delay differential equations, J. Comput. Math. Appl. 231 (2009), 657-663.
- [17] XU, R.-MENG, F. W.: Oscillation criteria for second order quasi-linear neutral delay differential equations, Appl. Math. Comput. 192 (2007), 216-222.
- [18] DONG, J. G.: Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments, Comput. Math. Appl. 59 (2010), 3710-3717.
- [19] Dˇ ZURINA, J.-HUD´AKOV´A, D.: Oscillation of second order neutral delay differential equations, Math. Bohem. 134 (2009), 31-38.
- [20] HASANBULLI, M.-ROGOVCHENKO, YU. V.: Oscillation criteria for second order nonlinear neutral differential equations, Appl. Math. Comput. 215 (2010), 4392-4399.
- [21] BACUL´IKOV´A, B.-Dˇ ZURINA, J.: Oscillation of third-order neutral differential equa- tions, Math. Comput. Modelling 52 (2010), 215-226.
- [22] SAKER, S. H.: Oscillation of second order neutral delay differential equations of Emden- -Fowler type, Acta Math. Hungar. 100 (2003), 37-62.
- [23] Dˇ ZURINA, J.-BUSA, J.-AIRYAN, E. A.: Oscillation criteria for second-order differ- ential equations of neutral type with mixed arguments, Differ. Equ. 38 (2002), 137-140.
- [24] YAN, J. R.: Oscillation of higher order neutral differential equations, J. Aust. Math. Soc. (Ser. A) 64 (1998), 73-81.
- [25] GRACE, S. R.: On the oscillations of mixed neutral equations, J. Math. Anal. Appl. 194 (1995), 377-388.
- [26] GRACE, S. R.: Oscillations of mixed neutral functional differential equations, Appl. Math. Comput. 68 (1995), 1-13.
- [27] YAN, J. R.: Oscillations of higher order neutral differential equations of mixed type, Israel J. Math. 115 (2000), 125-136.
- [28] BILCHEV, S. J.-GRAMMATIKOPOULOS, M. K.-STAVROULAKIS, I. P.: Oscilla- tion criteria in higher order neutral equations, J. Math. Anal. Appl. 183 (1994), 1-24.
- [29] BILCHEV, S. J.-GRAMMATIKOPOULOS, M. K.- STAVROULAKIS, I. P.: Oscilla- tions of higher order neutral differential equations, J. Aust. Math. Soc. (Ser. A) 52 (1992), 261-284.
- [30] WANG, Z. C.: A necessary and sufficient condition for the oscillation of higher order neutral equations, Tohoku. Math. J. (2) 41 (1989), 575-588.
DOI: https://doi.org/10.2478/v10127-011-0010-8 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195
Language: English
Page range: 101 - 116
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Related subjects:
© 2012 Tongxing Li, Blanka Baculíková, Jozef Džurina, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.