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Asymptotic Behavior and Stability in Linear Impulsive Delay Differential Equations with Periodic Coefficients

Author

Listed:
  • Ali Fuat Yeniçerioğlu

    (Faculty of Education, Kocaeli, Kocaeli University, Kocaeli 41380, Turkey
    These authors contributed equally to this work.)

  • Vildan Yazıcı

    (Faculty of Arts and Sciences, Kocaeli University, Kocaeli 41380, Turkey
    These authors contributed equally to this work.)

  • Cüneyt Yazıcı

    (Faculty of Education, Kocaeli, Kocaeli University, Kocaeli 41380, Turkey
    These authors contributed equally to this work.)

Abstract

We study first order linear impulsive delay differential equations with periodic coefficients and constant delays. This study presents some new results on the asymptotic behavior and stability. Thus, a proper real root was used for a representative characteristic equation. Applications to special cases, such as linear impulsive delay differential equations with constant coefficients, were also presented. In this study, we gave three different cases (stable, asymptotic stable and unstable) in one example. The findings suggest that an equation that is in a way that characteristic equation plays a crucial role in establishing the results in this study.

Suggested Citation

  • Ali Fuat Yeniçerioğlu & Vildan Yazıcı & Cüneyt Yazıcı, 2020. "Asymptotic Behavior and Stability in Linear Impulsive Delay Differential Equations with Periodic Coefficients," Mathematics, MDPI, vol. 8(10), pages 1-17, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1802-:d:429048
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