Analysis of a parametric delay functional differential equation with nonlocal integral condition
Authors
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.
Abstract
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.
Share and Cite
ISRP Style
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
AMA Style
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
Chicago/Turabian Style
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
Keywords
- Delay functional-differential equation
- nonlocal condition
- existence of solutions
- Schauder fixed point theorem
- Hyers-Ulam stability
- continuous dependence
MSC
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