Solvability of the functional integro-differential equation with self-reference and state-dependence
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Authors
A. M. A. El-Sayed
- Faculty of Science, Alexandria University, Egypt.
Reda Gamal Aahmed
- Faculty of Science, Al-Azhar University, Cairo, Egypt.
Abstract
The existence of solutions of a functional integro-differential equation with self-reference and state-dependence will be studied. The continuous dependence of the solution on the delay \(\phi(t)\), the functional \(g\) and initial data \(x_0\) will be proved.
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ISRP Style
A. M. A. El-Sayed, Reda Gamal Aahmed, Solvability of the functional integro-differential equation with self-reference and state-dependence, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 1, 1--8
AMA Style
El-Sayed A. M. A., Aahmed Reda Gamal, Solvability of the functional integro-differential equation with self-reference and state-dependence. J. Nonlinear Sci. Appl. (2020); 13(1):1--8
Chicago/Turabian Style
El-Sayed, A. M. A., Aahmed, Reda Gamal. "Solvability of the functional integro-differential equation with self-reference and state-dependence." Journal of Nonlinear Sciences and Applications, 13, no. 1 (2020): 1--8
Keywords
- Functional equations
- existence of solutions
- continuous dependence
- state-dependence
- self-reference
MSC
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