New oscillation criterion for delay differential equations with non-monotone arguments

Hassan A. El-Morshedy; Emad R. Attia

doi:10.1016/j.aml.2015.10.014

New oscillation criterion for delay differential equations with non-monotone arguments

Hassan A. El-Morshedy, Emad R. Attia

Damietta University

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We investigate the oscillation of a first order delay differential equation with non-negative coefficient and non-monotone arguments. New oscillation criterion of lim sup type is obtained. An example is given to show the applicability and strength of the obtained condition over known ones.

Original language	English
Pages (from-to)	54-59
Number of pages	6
Journal	Applied Mathematics Letters
Volume	54
DOIs	https://doi.org/10.1016/j.aml.2015.10.014
State	Published - Apr 2016
Externally published	Yes

Keywords

Differential equations
Non-monotone delays
Oscillation

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10.1016/j.aml.2015.10.014

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title = "New oscillation criterion for delay differential equations with non-monotone arguments",

abstract = "We investigate the oscillation of a first order delay differential equation with non-negative coefficient and non-monotone arguments. New oscillation criterion of lim sup type is obtained. An example is given to show the applicability and strength of the obtained condition over known ones.",

keywords = "Differential equations, Non-monotone delays, Oscillation",

author = "El-Morshedy, \{Hassan A.\} and Attia, \{Emad R.\}",

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year = "2016",

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doi = "10.1016/j.aml.2015.10.014",

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AU - El-Morshedy, Hassan A.

AU - Attia, Emad R.

PY - 2016/4

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N2 - We investigate the oscillation of a first order delay differential equation with non-negative coefficient and non-monotone arguments. New oscillation criterion of lim sup type is obtained. An example is given to show the applicability and strength of the obtained condition over known ones.

AB - We investigate the oscillation of a first order delay differential equation with non-negative coefficient and non-monotone arguments. New oscillation criterion of lim sup type is obtained. An example is given to show the applicability and strength of the obtained condition over known ones.

KW - Differential equations

KW - Non-monotone delays

KW - Oscillation

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U2 - 10.1016/j.aml.2015.10.014

DO - 10.1016/j.aml.2015.10.014

M3 - Article

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VL - 54

SP - 54

EP - 59

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

New oscillation criterion for delay differential equations with non-monotone arguments

Abstract

Keywords

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