Oscillation criteria for nonlinear functional differential equations of neutral type

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4 Citations (Scopus)

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 languageEnglish
JournalJournal of Inequalities and Applications
Volume2015
Issue number1
DOIs
Publication statusPublished - 2015

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Neutral Type
Oscillation Criteria
Functional Differential Equations
Nonlinear Differential Equations
Differential equations
Neutral Delay Differential Equation
Neutral Equation
Oscillation
Sufficient Conditions

Keywords

  • neutral delay differential equations
  • nonlinear
  • oscillations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

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title = "Oscillation criteria for nonlinear functional differential equations of neutral type",
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.",
keywords = "neutral delay differential equations, nonlinear, oscillations",
author = "Ahmed, {Fatima N.} and Ahmad, {Rokiah @ Rozita} and Din, {Ummul Khair Salma} and {Md. Noorani}, {Mohd. Salmi}",
year = "2015",
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journal = "Journal of Inequalities and Applications",
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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

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JF - Journal of Inequalities and Applications

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