Abstract
In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included.
| Original language | English |
|---|---|
| Journal | Journal of Inequalities and Applications |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 |
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Keywords
- neutral delay differential equations
- nonlinear
- oscillations
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Discrete Mathematics and Combinatorics
Cite this
Oscillation criteria for nonlinear functional differential equations of neutral type. / Ahmed, Fatima N.; Ahmad, Rokiah @ Rozita; Din, Ummul Khair Salma; Md. Noorani, Mohd. Salmi.
In: Journal of Inequalities and Applications, Vol. 2015, No. 1, 2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Oscillation criteria for nonlinear functional differential equations of neutral type
AU - Ahmed, Fatima N.
AU - Ahmad, Rokiah @ Rozita
AU - Din, Ummul Khair Salma
AU - Md. Noorani, Mohd. Salmi
PY - 2015
Y1 - 2015
N2 - In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included.
AB - In this paper, some new sufficient conditions for the oscillation of all solutions of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the literature. Our main results are obtained by employing the Riccati transformation aiming to transfer the neutral equation to a nonneutral type and then using some inequality techniques. Some illustrative examples are also included.
KW - neutral delay differential equations
KW - nonlinear
KW - oscillations
UR - http://www.scopus.com/inward/record.url?scp=84924859656&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84924859656&partnerID=8YFLogxK
U2 - 10.1186/s13660-015-0608-5
DO - 10.1186/s13660-015-0608-5
M3 - Article
VL - 2015
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
SN - 1025-5834
IS - 1
ER -