New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments

Authors

  • O. Moaaz

  • E. M. Elabbasy

oscillation, third order, neutral delay, differential equations

Abstract

The purpose of this paper is to obtain the sufficient conditions which insure that solution of class of third order neutral delay differential equation is oscillatory or tended to zero. The results of this study basically generalize and improve the previous results. Examples given in the study to clarify the new results.

Downloads

How to Cite

New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments. (2015). Global Journal of Science Frontier Research, 15(F9), 1-9. https://www.journalofscience.org/index.php/GJSFR/article/view/1693

References

R Agarwal, A Aktas, Tiryaki (2009) On oscillation criteria for third order nonlinear delay differential equations. 45, 1-18.

M Aktas, A Tiryaki, A Zafer (2010) Oscillation criteria for third-order nonlinear functional differential equations. 23, 756-762.

B Baculikova, J Dzurina (2010) On the asymptotic behavior of a class of third order nonlinear neutral differential equations. 8(6), 1091-1103.

B Baculíková, J Džurina (2010) Oscillation of third-order neutral differential equations. 52(1-2), 215-226.

T Candan, R Dahiya (2005) Functional Differential Equations of Third Order. 12, 47-56.

Jozef Dzurina (1996) Asymptotic properties of the third order delay differential equations. 26(1), 33-39.

Jozef Džurina, Renáta Kotorová (2009) Comparison theorems for the third order trinomial differential equations with delay argument. 59(2), 353-370.

Elmetwally Elabbasy, T Hassan, O Moaaz (2012) Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments. 32(4), 719.

E Elabbasy, T Hassan (2008) Interval oscillation for second order sublinear differential equations with a damping term. 1, 291-299.

E Elabbasy, T Hassan (2010) Oscillation of third order nonlinear functional differential equations. 131, 1-14.

M El-Sheikh, R Sallam, N Mohamady (2013) On the oscillation of third order neutral delay differential equations. 1(3), 77-80.

L Erbe, Q Kong, B Zhang (1995) Oscillation Theory for Functional Differential Equations.

J Graef, R Savithri, E Thandapanii (2002) Oscillatory properties of third order neutral delay differential equations. 342-350.

Jack Hale, Sjoerd Lunel (1993) Functional differential equations: Basic theory. 38-66.

G Ladde, V, B Zhang (1987) Oscillation Theory of Differential Equations With Deviating Arguments.

G Ch, Philos (1981) On the nonoscillatory solutions tending to zero at _ to differential equations with positive delays. 36, 168-178.

E Thandapani, S Tamilvanan, E (2012) Oscillation of Third Order Half Linear Neutral Delay Differential Equations. 77(3), 359-368.

New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments

Published

2015-12-12

How to Cite

New Oscillation Results for Class of Third Order Neutral Delay Differential Equations with Distributed Deviating Arguments. (2015). Global Journal of Science Frontier Research, 15(F9), 1-9. https://www.journalofscience.org/index.php/GJSFR/article/view/1693