Necessary and sufficient conditions for the solutions of second order neutral differential equations to be oscillatory of tending to zero

• Autorzy: Padhi S. , Kar P. K. , Nayak S. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, necessary and sufficient conditions have been obtained for a class of forced superlinear second order neutral differential equations of Emden-Fowler type such that every solution of the equation is either oscillatory or tends to zero as t -> niekończoność

Słowa kluczowe

EN

oscillation; nonoscillation; neutral differential equation

PL

równanie różniczkowe

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 73--83
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Padhi S.

• Department of Mathematics, Jagannath Institute for Technology and Management, Paralakhemundi - 761 211, Orissa, India

autor

Kar P. K.

• Department of Mathematics, Jagannath Institute for Technology and Management, Paralakhemundi - 761 211, Orissa, India

autor

Nayak S. K.

• Department of Mathematics, Berhampur University, Berhampur - 760 007, India

Bibliografia

• [1] D.D. Bainov, D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol 1991.
• [2] P. Das, Oscillations and asymptotic behaviour of solutions for second order neutral delay differential equations, J. Indian Math. Soc. 60(1994), 159-170.
• [3] P. Das, N. Mishra, A necessary and sufficient condition for the solutions of a functional differential equation to be oscillatory or tend to zero, J. Math. Anal. Appl. 204(1997), 78-87.
• [4] J. Gyori, G. Ladas, Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford 1991.
• [5] J. Hale, Functional Differential Equations, Springer-Verlag, New York 1991.
• [6] A.H. Nasr, Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument, J. Math. Anal. Appl. 212(1997), 51-59.
• [7] N. Parhi, P.K. Mohanty, Oscillation of solutions of forced neutral differential equations of n-th order, Czechoslovak Math. J. 45(1995), 413-433.
• [8] N. Parhi, P.K. Mohanty, On oscillatory forced neutral differential equations of second order, J. Indian Math. Soc. 61(1995), 241-254.