On the distance between adjacent zeros of solutions of first order differential equations with distributed delays

Hassan A. El-Morshedy; Emad R. Attia

doi:10.14232/ejqtde.2016.1.8

On the distance between adjacent zeros of solutions of first order differential equations with distributed delays

Hassan A. El-Morshedy, Emad R. Attia

Damietta University

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

5 Scopus citations

Abstract

We estimate the distance between adjacent zeros of all solutions of the first order differential equation (Formula Presented). This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2016
DOIs	https://doi.org/10.14232/ejqtde.2016.1.8
State	Published - 2016
Externally published	Yes

Keywords

Distance between zeros
Distributed delays
First order differential equation
Oscillation

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10.14232/ejqtde.2016.1.8

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title = "On the distance between adjacent zeros of solutions of first order differential equations with distributed delays",

abstract = "We estimate the distance between adjacent zeros of all solutions of the first order differential equation (Formula Presented). This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones.",

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AU - Attia, Emad R.

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AB - We estimate the distance between adjacent zeros of all solutions of the first order differential equation (Formula Presented). This form makes it possible to study equations with both discrete and continuous distributions of the delays. The obtained results are new and improve several known estimations. Some illustrative examples are given to show the advantages of our results over the known ones.

KW - Distance between zeros

KW - Distributed delays

KW - First order differential equation

KW - Oscillation

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JO - Electronic Journal of Qualitative Theory of Differential Equations

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ER -

On the distance between adjacent zeros of solutions of first order differential equations with distributed delays

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Keywords

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