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

Author

Listed:
  • Emad R. Attia

    (Department of Mathematics, College of Sciences and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

  • George E. Chatzarakis

    (Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 15122 Marousi, Greece)

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.

Suggested Citation

  • Emad R. Attia & George E. Chatzarakis, 2022. "Upper Bounds for the Distance between Adjacent Zeros of First-Order Linear Differential Equations with Several Delays," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:648-:d:753351
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    References listed on IDEAS

    as
    1. Baker, Faroq A. & El-Morshedy, Hassan A., 2015. "The distribution of zeros of all solutions of first order neutral differential equations," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 777-789.
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