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

Emad R. Attia and George E. Chatzarakis
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Emad R. Attia: Department of Mathematics, College of Sciences and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
George E. Chatzarakis: Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 15122 Marousi, Greece

Mathematics, 2022, vol. 10, issue 4, 1-15

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.

Keywords: distance between zeros; several delays; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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