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

Ali Fuat Yeniçerioğlu, Vildan Yazıcı and Cüneyt Yazıcı
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Ali Fuat Yeniçerioğlu: Faculty of Education, Kocaeli, Kocaeli University, Kocaeli 41380, Turkey
Vildan Yazıcı: Faculty of Arts and Sciences, Kocaeli University, Kocaeli 41380, Turkey
Cüneyt Yazıcı: Faculty of Education, Kocaeli, Kocaeli University, Kocaeli 41380, Turkey

Mathematics, 2020, vol. 8, issue 10, 1-17

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.

Keywords: asymptotic behavior; characteristic equation; delay differential equation; stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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