On the Oscillation of second order nonlinear neutral delay differential equations

References

[1] Agarwal, R. P.—Sheikh, S. L.—Yeh, C.: Oscillation criteria for second order retated differential equations, Math. Comput. 26 (1997), 1–11.10.1016/S0895-7177(97)00141-6Search in Google Scholar

[2] Atkinson, F.V.: On second order nonlinear oscillates, Pacific J. Math. 5 (1995), 643–647.10.2140/pjm.1955.5.643Search in Google Scholar

[3] Baculíková, B.—Džurina, J.: Oscillation theorems for second order neutral differential equations, Comput. Math. Appl. 61 (2011), 94–99.10.1016/j.camwa.2010.10.035Search in Google Scholar

[4] Bharadwaj, B. V. K.—Baruah, P. K.: Existence of a non-oscillating solution for a second order nonlinear ODE, Comput. Math. Appl. 6(2) (2015), 41–47.Search in Google Scholar

[5] Bohner, M.—Li, T.: Oscillation of second-order P-Laplace dynamic equations with a nonpositive neutral coefficient, Appl. Math. Lett. 37 (2014), 72–76.10.1016/j.aml.2014.05.012Search in Google Scholar

[6] Brayton, R. K.: Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type, Quart. Appl. Math. 24 (1996), 215–224.10.1090/qam/204800Search in Google Scholar

[7] Chern, J. L.—LIAN, W. C.—YEH, C. C.: Oscillation criteria for second order half-linear differential equations with functional arguments, Publ. Math. Debrecen 48(3–4) (1996), 209–216.10.5486/PMD.1996.1555Search in Google Scholar

[8] Dubé, S. G.—Mingarell, A. B.: Note on a non-oscillation Theorem of Atkinson, Electron. J. Differential Equations 2004 (22) (2004), 1–6.Search in Google Scholar

[9] Džurina, J.—Stavrolakis, I. P.: Oscillation criteria for second-order delay differential equations, Appl. Math. Comput. 140 (2003), 445–453.10.1016/S0096-3003(02)00243-6Search in Google Scholar

[10] El-Sheikh, M. M. A.: Oscillation and nonoscillation criteria for second order nonlinear differential equations, J. Math. Anal. Appl. 179(1) (1993), 14–27.10.1006/jmaa.1993.1332Search in Google Scholar

[11] El-Sheikh, M. M. A.—Sallam, R.—Elimy, D.: Oscillation criteria for second order nonlinear equations with damping, Adv. Differ. Equ. Control Process. 8(2) (2011), 127–142.Search in Google Scholar

[12] El-Sheikh. M. M. A.—Sallam, R. A.—El-Saedy, E. I.: On the oscillatory behavior of solutions of second order nonlinear neutral delay differential equations, WSEAS Transactions on Mathematics 17 (2018), 51–57.Search in Google Scholar

[13] Erbe, L.—Hassan, TS.—Peterson, A.: Oscillation criteria for nonlinear functional neutral dynamic equations on time scales, J. Difference Equ. Appl. 15 (2009), 1097–1116.10.1080/10236190902785199Search in Google Scholar

[14] Guan, H-Y.—Yu, Y-H.: Oscillation of second order quasi-linear neutral delay differential equations, International Journal of Mathematics And its Applications 3 (2015), 17–24.Search in Google Scholar

[15] Han, Z. H.—Li, T-X.—Sun, S. R.: Oscillation of second order quasilinear neutral delay differential equations, J. Appl. Math. Comput. 40 (2012), 143–152.10.1007/s12190-012-0562-zSearch in Google Scholar

[16] Kuang, Y.: Delay Differential Equations with Application in Population Dynamics, Academic Press, New York, 1993.Search in Google Scholar

[17] Kusano, T.—Naito, Y.: Oscillation and nonoscillation criteria for second order quasilinear differential equation, Acta Math. Hungar. 6 (1997), 81–99.10.1007/BF02907054Search in Google Scholar

[18] Li, Q.—Wang, R.—Chen, F.—Li, T.: Oscillation of second-order nonlinear delay differential equations with nonpositive neutral coefficients, Adv. Difference Equ. 2015 (2015), 1–7.10.1186/s13662-015-0377-ySearch in Google Scholar

[19] Li, T.—Han, Z.—Zhang, C.—Sun, S.: On the oscillation of second-order Emden-Fowler neutral differential, J. Appl. Math. Comput. 37 (2011), 601–610.10.1007/s12190-010-0453-0Search in Google Scholar

[20] Li, T.—Rogovchenko, Y. V.: Oscillation of second-order neutral differential equations, Math. Nachr. 288 (2015), 1150–1162.10.1002/mana.201300029Search in Google Scholar

[21] Li, W.: Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations, Ann. Polon. Math. 3 (1997), 283–302.10.4064/ap-65-3-283-302Search in Google Scholar

[22] Li, W.: Interval oscillation of second-order half-linear functional differential equations, Appl. Math. Comput. 155 (2004), 451–468.10.1016/S0096-3003(03)00790-2Search in Google Scholar

[23] Liu, H—Meng, F.—Liu, P.: Oscillation and asymptotic analysis on a new generalized Emden-Fowler equation, Appl. Math. Comput. 219 (2012), 2739–2748.10.1016/j.amc.2012.08.106Search in Google Scholar

[24] Mirzov, D. D.: On the oscillation of solutions of asystem of differential equations, Math. Zametki 23 (1978), 401–404.Search in Google Scholar

[25] Manojlović, J. V.: Oscillation criteria for second-order half-linear differential equations, Math. Comput. Model. 30 (1999), 109–119.10.1016/S0895-7177(99)00151-XSearch in Google Scholar

[26] Shi, Y.—Han, Z.—Sun, Y.: Oscillation criteria for a generalized Emden-Fowler dynamic equation on time scales, Adv. Difference Equ. 3 (2016), 1–12.10.1186/s13662-015-0701-6Search in Google Scholar

[27] Sun, Y. G.—Meng, F. W.: Note on the paper of Džurina and Staroulakis, Appl. Math. Comput. 174 (2006), 1634–1641.10.1016/j.amc.2005.07.008Search in Google Scholar

[28] Tiryaki, A.: Oscillation criteria for a certain second-order nonlinear differential equations with deviating arguments, Anal. Appl. 252 (2000), 342–352.10.1006/jmaa.2000.7063Search in Google Scholar

[29] Wang, Q.: Oscillation and asymptotic for second-order half-linear differential equations, Appl. Math. Comput. 122 (2001), 253–266.10.1016/S0096-3003(00)00056-4Search in Google Scholar

[30] Wang, Q.—Yang, Y.: Interval criteria for oscillation of second-order half-linear differential equations, J. Math. Anal. Appl. 291 (2004), 224–236.10.1016/j.jmaa.2003.10.028Search in Google Scholar

[31] Wang, R.—Li, Q.: Oscillation and asymptotic properties of a class of second-order Emden-Fowler neutral differential equations, SpringerPlus 5 (2016), Art. No. 1956.10.1186/s40064-016-3622-2Search in Google Scholar

[32] Wu, Y.—Yu, Y.—Zhang, J.—Xiao, J.: Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type, J. Inequal. Appl. 2016 (2016), Art. No. 328.10.1186/s13660-016-1268-9Search in Google Scholar

[33] Xu, R.—Meng, F.: Some new oscillation criteria for second-order half-linear differential equations, Appl. Math. Comput. 182 (2006), 797–803.10.1016/j.amc.2006.04.042Search in Google Scholar

[34] Xu, R.—Meng, F.: Some new oscillation criteria for second order quasi-linear neutral delay differential equations, Appl. Math. Comput. 192 (2007), 216–222.10.1016/j.amc.2007.01.108Search in Google Scholar

[35] Ye, L. H.—Xu, Z. T.: Oscillation criteria for second order quasilinear neutral delay differential equations, Appl. Math. Comput. 207 (2009), 388–396.10.1016/j.amc.2008.10.051Search in Google Scholar

[36] Yang, X.: Nonoscillation criteria for second-order nonlinear differential equations, App. Math. Comput. 131 (2002), 125–131.10.1016/S0096-3003(01)00132-1Search in Google Scholar

[37] Yang, Q.—Yang, L.—Zhu, S.: Interval criteria for oscillation of second order nonlinear neutral differential equations, Comput. Math. Appl. 46 (2006), 903–918.10.1016/S0898-1221(03)90152-0Search in Google Scholar