New qualitative results to a kind of non-autonomous third-order neutral delay differential equations | ||
| Delta Journal of Science | ||
| Volume 50, Issue 1, February 2025, Pages 66-84 PDF (1.41 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2025.372614.1211 | ||
| Author | ||
| Ayman Mohammed Mahmoud* | ||
| Department of Mathematics, Faculty of Science, New Valley University, El-Khargah 72511, Egypt | ||
| Abstract | ||
| In this paper, the qualitative properties of solutions for a kind of non-autonomous third-order neutral delay differential equations (NDDEs) are discussed. New results on the stability, boundedness and square integrability of solutions and their derivatives are obtained by using the method of Lyapunov functional. Our results generalize and extend many related results on third-order neural differential equations with and without delay in the literature. Moreover, an example is given to show the correctness and feasibility of the main results. | ||
| Keywords | ||
| Third-order; Neutral delay differential equation; Lyapunov functional; Stability; Square integrability | ||
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