Upper Bounds for the Distance between Adjacent Zeros of First-Order Linear Differential Equations with Several Delays

Emad R. Attia; George E. Chatzarakis

doi:10.3390/math10040648

Upper Bounds for the Distance between Adjacent Zeros of First-Order Linear Differential Equations with Several Delays

Emad R. Attia, George E. Chatzarakis

Mathematics

School of Pedagogical and Technological Education

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

3 Scopus citations

Abstract

The distance between successive zeros of all solutions of first-order differential equations with several delays is studied in this work. Many new estimations for the upper bound of the distance between zeros are obtained. Our results improve many-well known results in the literature. We also obtain some fundamental results for the lower bound of the distance between adjacent zeros. Some illustrative examples are introduced to show the accuracy and efficiency of the obtained results.

Original language	English
Article number	648
Journal	Mathematics
Volume	10
Issue number	4
DOIs	https://doi.org/10.3390/math10040648
State	Published - 1 Feb 2022

Keywords

Distance between zeros
Oscillation
Several delays

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10.3390/math10040648

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abstract = "The distance between successive zeros of all solutions of first-order differential equations with several delays is studied in this work. Many new estimations for the upper bound of the distance between zeros are obtained. Our results improve many-well known results in the literature. We also obtain some fundamental results for the lower bound of the distance between adjacent zeros. Some illustrative examples are introduced to show the accuracy and efficiency of the obtained results.",

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AB - The distance between successive zeros of all solutions of first-order differential equations with several delays is studied in this work. Many new estimations for the upper bound of the distance between zeros are obtained. Our results improve many-well known results in the literature. We also obtain some fundamental results for the lower bound of the distance between adjacent zeros. Some illustrative examples are introduced to show the accuracy and efficiency of the obtained results.

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KW - Oscillation

KW - Several delays

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Upper Bounds for the Distance between Adjacent Zeros of First-Order Linear Differential Equations with Several Delays

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Keywords

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