A. M. A. El-Sayed - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt. M. O. Radwan - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt. H. R. Ebead - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt.
This paper analyzes a nonlocal problem of a delay functional-differential equation with parameters. We confirm that there is at least one solution \(x \in AC[0,T]\) to the problem. Furthermore, we provide the hypotheses that must be fulfilled for the solution’s uniqueness. The analysis also implements the Hyers-Ulam stability of the problem and the continuous dependence of the unique solution on some parameters. We provide some exceptional cases and examples to illustrate our findings.
A. M. A. El-Sayed, M. O. Radwan, H. R. Ebead, Analysis of a parametric delay functional differential equation with nonlocal integral condition, Journal of Mathematics and Computer Science, 36 (2025), no. 4, 455--470
El-Sayed A. M. A. , Radwan M. O. , Ebead H. R. , Analysis of a parametric delay functional differential equation with nonlocal integral condition. J Math Comput SCI-JM. (2025); 36(4):455--470
El-Sayed, A. M. A. , Radwan, M. O. , Ebead, H. R. . "Analysis of a parametric delay functional differential equation with nonlocal integral condition." Journal of Mathematics and Computer Science, 36, no. 4 (2025): 455--470
