Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients

Some new oscillation criteria are given for first order neutral delay differential equations with variable coefficients. Our results generalize and extend some of the well-known results in the literature. Some examples are considered to illustrate the main results.

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Some Further Results on Oscillations for Neutral Delay Differential Equations with Variable Coefficients

Abstract and Applied Analysis ◽

10.1155/2014/579023 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Fatima N. Ahmed ◽

Rokiah Rozita Ahmad ◽

Ummul Khair Salma Din ◽

Mohd Salmi Md Noorani

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Variable Coefficients ◽

Oscillatory Behaviour ◽

Neutral Delay ◽

Neutral Equations ◽

First Order ◽

All Solutions ◽

Neutral Delay Differential Equations ◽

Delay Differential

We study the oscillatory behaviour of all solutions of first-order neutral equations with variable coefficients. The obtained results extend and improve some of the well-known results in the literature. Some examples are given to show the evidence of our new results.

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Oscillation Criteria for Linear Neutral Delay Differential Equations of First Order

Abstract and Applied Analysis ◽

10.1155/2013/281581 ◽

2013 ◽

Vol 2013 ◽

pp. 1-5 ◽

Cited By ~ 1

Author(s):

Fatima N. Ahmed ◽

Rokiah Rozita Ahmad ◽

Ummul Khair Salma Din ◽

Mohd Salmi Md Noorani

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Sufficient Conditions ◽

Neutral Delay ◽

Oscillation Criteria ◽

Order Linear ◽

First Order ◽

All Solutions ◽

Neutral Delay Differential Equations ◽

Delay Differential

Some new sufficient conditions for oscillation of all solutions of the first-order linear neutral delay differential equations are obtained. Our new results improve many well-known results in the literature. Some examples are inserted to illustrate our results.

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New oscillation criteria for first order nonlinear neutral delay differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00298-9 ◽

2003 ◽

Vol 142 (2-3) ◽

pp. 225-242 ◽

Cited By ~ 11

Author(s):

I Kubiaczyk ◽

S.H Saker ◽

J Morchalo

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Neutral Delay ◽

Oscillation Criteria ◽

First Order ◽

Neutral Delay Differential Equations ◽

Delay Differential

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Oscillations for Nonlinear Neutral Delay Differential Equations with Variable Coefficients

Abstract and Applied Analysis ◽

10.1155/2014/179195 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6

Author(s):

Fatima N. Ahmed ◽

Rokiah R. Ahmad ◽

Ummul K. S. Din ◽

Mohd S. M. Noorani

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Variable Coefficients ◽

Neutral Delay ◽

Oscillation Criteria ◽

All Solutions ◽

Neutral Delay Differential Equations ◽

Delay Differential

A class of nonlinear neutral delay differential equations is considered. Some new oscillation criteria of all solutions are derived. The obtained results generalize and extend some of well known previous results in the literature.

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Conditions for oscillation of first order neutral delay differential equations

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700030689 ◽

1997 ◽

Vol 56 (1) ◽

pp. 1-16

Author(s):

Ziwen Jiang

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Sufficient Conditions ◽

Variable Coefficients ◽

Neutral Delay ◽

First Order ◽

Neutral Delay Differential Equations ◽

Delay Differential

In this paper, some new sufficient conditions for oscillation of first order neutral delay differential equations with several variable coefficients are obtained. These sufficient conditions include and are in many cases weaker than those known.

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Existence of positive solution and new oscillation criteria for nonlinear first-order neutral delay differential equations

Differential Equations & Applications ◽

10.7153/dea-08-03 ◽

2016 ◽

pp. 33-51 ◽

Cited By ~ 5

Author(s):

Shyam Sundar Santra

Keyword(s):

Differential Equations ◽

Positive Solution ◽

Delay Differential Equations ◽

Neutral Delay ◽

Oscillation Criteria ◽

First Order ◽

Neutral Delay Differential Equations ◽

Delay Differential

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On the behavior of the solutions of scalar first order linear autonomous neutral delay differential equations

Archiv der Mathematik ◽

10.1007/s000130050290 ◽

1998 ◽

Vol 71 (6) ◽

pp. 454-464 ◽

Cited By ~ 18

Author(s):

I.-G. E. Kordonis ◽

N.T. Niyianni ◽

C.G. Philos

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Neutral Delay ◽

Order Linear ◽

First Order ◽

Neutral Delay Differential Equations ◽

Delay Differential

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First Order Nonlinear Neutral Delay Differential Equations

Baghdad Science Journal ◽

10.21123/bsj.1.2.347-349 ◽

2004 ◽

Vol 1 (2) ◽

pp. 347-349 ◽

Cited By ~ 1

Author(s):

Baghdad Science Journal

Keyword(s):

Asymptotic Behavior ◽

Differential Equations ◽

Delay Differential Equations ◽

Neutral Delay ◽

Nonoscillatory Solutions ◽

Neutral Differential Equations ◽

First Order ◽

Neutral Delay Differential Equations ◽

Delay Differential

The author obtain results on the asymptotic behavior of the nonoscillatory solutions of first order nonlinear neutral differential equations. Keywords. Neutral differential equations, Oscillatory and Nonoscillatory solutions.

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Oscillation of Nonlinear First Order Neutral Differential Equations

Baghdad Science Journal ◽

10.21123/bsj.4.3.485-490 ◽

2007 ◽

Vol 4 (3) ◽

pp. 485-490

Author(s):

Baghdad Science Journal

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Integral Conditions ◽

Neutral Delay ◽

Neutral Differential Equations ◽

First Order ◽

All Solutions ◽

Neutral Delay Differential Equations ◽

Delay Differential

In this paper, the author established some new integral conditions for the oscillation of all solutions of nonlinear first order neutral delay differential equations. Examples are inserted to illustrate the results.

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