Boundedness of Vector Linéard Equation with Multiple Variable Delays

Melek Gözen ()
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Melek Gözen: Department of Business Administration, Faculty of Management, Van Yuzuncu Yil University, 65080 Erciş-Van, Turkey

Mathematics, 2024, vol. 12, issue 5, 1-11

Abstract: In this article, we consider a system of ordinary differential equations (ODEs) of second order with two variable time delays. We obtain new conditions for uniform ultimate bounded (UUB) solutions of the considered system. The technique of the proof is based on the Lyapunov–Krasovskii functional (LKF) method using a new LKF. The main result of this article extends and improves a recent result for ODEs of second order with a constant delay to a more general system of ODEs of second order with two variable time delays. In this particular case, we also give a numerical example to verify the application of the main result of this article.

Keywords: ODEs of second order; uniform ultimate; boundedness; LKF; variable time delay; second order (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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