A constrained problem of state dependent pantograph functional equation constrained by its conjugate
Authors
A. M. A. El-Sayed
- Faculty of Science, Alexandria University, Alexandria, Egypt.
E. M. Al-Barg
- Faculty of Science, Sirt University, Libya.
H. R. Ebead
- Faculty of Science, Alexandria University, Alexandria, Egypt.
Abstract
In this paper, we define the state-dependent pantograph functional equation and study the existence and uniqueness of its solution and prove some data dependence theorems, then we investigate the existence of the solution of a constrained problem of the state-dependent pantograph functional equation constrained by its conjugate equation. Moreover, we demonstrate the continuous dependence of the solution. We also examine the Hyres-Ulam stability of our problem.
Share and Cite
ISRP Style
A. M. A. El-Sayed, E. M. Al-Barg, H. R. Ebead, A constrained problem of state dependent pantograph functional equation constrained by its conjugate, Journal of Mathematics and Computer Science, 37 (2025), no. 1, 94--105
AMA Style
El-Sayed A. M. A. , Al-Barg E. M. , Ebead H. R. , A constrained problem of state dependent pantograph functional equation constrained by its conjugate. J Math Comput SCI-JM. (2025); 37(1):94--105
Chicago/Turabian Style
El-Sayed, A. M. A. , Al-Barg, E. M. , Ebead, H. R. . "A constrained problem of state dependent pantograph functional equation constrained by its conjugate." Journal of Mathematics and Computer Science, 37, no. 1 (2025): 94--105
Keywords
- Constrained problem
- pantograph functional equation
- state-dependent
- continuous dependence
- Hyres-Ulam stable
MSC
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