Oscillation and asymptotic behaviour of solutions of second order neutral differential equations with positive and negative coefficients

• Autorzy: Padhi S.
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions in terms of the coefficient functions for the oscillation and asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear neutral differential equations have been obtained. The results improve some earlier results.

Słowa kluczowe

EN

oscillatory solution; nonoscillatory solution

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2007
• Tom: Nr 38
• Strony: 105--114
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Padhi S.

• Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi-835 215, India,

Bibliografia

• [1] CHUANXI, LADAS G., Oscillations in differential equations with positive and negative coefficients, Canad. Math. Bull., 33(1990), 442-450.
• [2] CHUANXI, LADAS G., Linearized oscillations for equations with positive and negative coefficients, Hiroshima Math. J., 20(1990), 331-340.
• [3] GYORI L, LADAS G., Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991.
• [4] MANOJLOVIC J., SHOUKAKU Y., TANIGAWA T., YOSHIDA N., Oscillation criteria for second order differential equations with positive and negative coefficients, to appear in Appl. Math. Comp.
• [5] PARHI N., CHAND S., Oscillations of second order neutral delay differential equations with positive and negative coefficients, J. Ind. Math. Soc., 66(1999), 227-235.
• [6] PARHI N., CHAND S., On forced first order neutral differential equations with positive and negative coefficients, Math. Slovaca, 50(2000), 81-94.
• [7] RATH R.N., MISHRA N., Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral differential equation of first order with positive and negative coefficients, Math. Slovaca, 54(2004), 255-266.
• [8] Yu J.S., Neutral differential equations with positive and negative coefficients, Acta Math. Sinica, 34(1991), 517-523.