Research
Communication | Open Access
Volume 2022 | Communication ID 2390
Volume 2022 | Communication ID 2390
New and improved conditions for qualitative behaviors of differential systems with time-varying delay |
Cemil Tunç, Osman Tunç
Received |
Accepted |
Published |
Jun 01, 21:36 |
July 01, 2022 |
July 15, 2022 |
Abstract: This paper is concerned with some qualitative analyses of solutions of continuous-time systems of delay differential equations (DDEs) of first order. In this paper, certain the continuous-time delay unperturbed and perturbed systems of DDEs are considered, correspondingly. The qualitative analyses solutions of them are connected based on the LKF approach. Firstly, an LKF is defined, and then by aid of this LKF, three novel theorems, Theorems 1-3, which have improved sufficient conditions for asymptotic stability (AS), integrability and bounded solutions, are proved. Two numerical examples ...