Geodesic
Solvability of the functional integro-differential equation with self-reference and state-dependence
El-Sayed, A. M. A. 1 ; Aahmed, Reda Gamal 2
1 Faculty of Science, Alexandria University, Egypt
2 Faculty of Science, Al-Azhar University, Cairo, Egypt
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 1, p. 1-8.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.013.01.01
Classification : 34A12, 34A30, 34D20
Keywords: Functional equations, existence of solutions, continuous dependence, state-dependence, self-reference

El-Sayed, A. M. A.  1 ; Aahmed, Reda Gamal  2

1 Faculty of Science, Alexandria University, Egypt
2 Faculty of Science, Al-Azhar University, Cairo, Egypt 
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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 its applications, Tome 13 (2020) no. 1, p. 1-8. doi : 10.22436/jnsa.013.01.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.01.01/

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