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@article{DMDICO_2002_22_2_a1, author = {Kubiaczyk, Ireneusz and Saker, Samir}, title = {Oscillation of nonlinear neutral delay differential equations of second order}, journal = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization}, pages = {185--212}, publisher = {mathdoc}, volume = {22}, number = {2}, year = {2002}, zbl = {1034.34077}, language = {en}, url = {http://geodesic.mathdoc.fr/item/DMDICO_2002_22_2_a1/} }
TY - JOUR AU - Kubiaczyk, Ireneusz AU - Saker, Samir TI - Oscillation of nonlinear neutral delay differential equations of second order JO - Discussiones Mathematicae. Differential Inclusions, Control and Optimization PY - 2002 SP - 185 EP - 212 VL - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMDICO_2002_22_2_a1/ LA - en ID - DMDICO_2002_22_2_a1 ER -
%0 Journal Article %A Kubiaczyk, Ireneusz %A Saker, Samir %T Oscillation of nonlinear neutral delay differential equations of second order %J Discussiones Mathematicae. Differential Inclusions, Control and Optimization %D 2002 %P 185-212 %V 22 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMDICO_2002_22_2_a1/ %G en %F DMDICO_2002_22_2_a1
Kubiaczyk, Ireneusz; Saker, Samir. Oscillation of nonlinear neutral delay differential equations of second order. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 22 (2002) no. 2, pp. 185-212. http://geodesic.mathdoc.fr/item/DMDICO_2002_22_2_a1/
[1] R.P. Agarwal, S.R. Grace and D. O'Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publisheres, Drdrechet 2000.
[2] R.P. Agarwal, S.R. Grace and D. O'Regan, Oscillation Theory for Second Order Dynamic Equations, to appear.
[3] D.D. Bainov and D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, New York 1991.
[4] E. Boe and H.C. Chang, Dynamics of delayed systems under feedback control, Chem. Engng. Sci. 44 (1989), 1281-1294.
[5] S.J. Bilchev, M.K. Grammatikopoulos and I.P. Stavroulakis, Oscillation of second order neutral differential equations with deviating arguments, Contemporary Math. 129 (1992), 1-21.
[6] J. Dzurina and B. Mihalikova, Oscillation criteria for second order neutral differential equations, Math. Boh. 125 (2000), 145-153.
[7] L.H. Erbe, Q. King and B.Z. Zhang, Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York 1995.
[8] J.R. Graef, M.K. Grammatikopoulos and P.W. Spikes, Asymptotic properties of solutions of nonlinear neutral delay differential equations of the second order, Radovi Mat. 4 (1988), 133-149.
[9] J.R. Graef, M.K. Grammatikopoulos and P.W. Spikes, On the Asymptotic behavior of solutions of the second order nonlinear neutral delay differential equations, J. Math. Anal. Appl. 156 (1991), 23-39.
[10] J.R. Graef, M.K. Grammatikopoulos and P.W. Spikes, Some results on the asymptotic behavior of the solutions of a second order nonlinear neutral delay differential equations, Contemporary Mathematics 129 (1992), 105-114.
[11] M.K. Grammatikopoulos, G. Ladas and A. Meimaridou, Oscillation of second order neutral delay differential equations, Radovi Mat. 1 (1985), 267-274.
[12] M.K. Grammatikopoulos, G. Ladas and A. Meimaridou, Oscillation and asymptotic behavior of second order neutral differential equations, Annali di Matematica Pura ed Applicata CXL, VIII (1987), 20-40.
[13] M.K. Grammatikopoulos and P. Marusiak, Oscillatory properties of second order nonlinear neutral differential inequalities with oscillating coefficients, Arch. Math. 31 (1995), 29-36.
[14] I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations With Applications, Clarendon Press, Oxford 1991.
[15] J. K.Hale, Theory of Functional Differential Equations, Springer-Verlag, New York 1977.
[16] P. Hartman, On nonoscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389-400.
[17] I.V. Kamenev, Integral criterion for oscillation of linear differential equations of second order, Math. Zemetki (1978), 249-251.
[18] I.T. Kiguradze, On the oscillation of solutions of the equation [(d^{m}u)/(dt^{m})] + a(t)|u|^{n} sign u = 0, Math. Sb. 65 (1964), 172-187, (in Russian).
[19] G.S. Ladde, V. Lakshmikantham and B.Z. Zhang, Oscillation theory of differential equations with deviating arguments, Marcel Dekker, New York 1987.
[20] W. Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke J. Math. 17 (1950), 57-62.
[21] W.T. Li, Classification and existence of nonoscillatory solutions of second order nonlinear neutral differential equations, Ann. Polon Math. LXV. 3 (1997), 283-302.
[22] Ch.G. Philos, Oscillation theorems for linear differential equation of second order, Arch. Math. 53 (1989), 483-492.
[23] E.P. Popove, Automatic Regulation and Control, Nauka, Moscow 1966, (in Russian).
[24] S. Tanaka, Oscillation properties of solutions of second order neutral differential equations with deviating arguments, Analysis 17 (1997), 99-111.
[25] C.C. Travis, Oscillation theorems for second order differential equations with functional arguments, Proc. Amer. Math. Soc. 31 (1972), 199-202.
[26] P. Waltman, A note on an oscillation criterion for an equation with function argument, Canad. Math. Bull. 11 (1968), 593-595.
[27] A. Wintner, A cireterion of oscillatory stability, Quart. Appl. Math. 7 (1949), 115-117.
[28] J. Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. Math. Soc. 98 (1986), 276-282, 482-492.
[29] N. Yoshida and K. Takeuchi, Oscillation properties of solutions of second order nonlinear differential equations with delay, Math. J. Toyama Univ. 17 (1994), 167-173.