On a delay Volterra-Stieltjes quadratic integral equation

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Authors :

A. M. A. El-Sayed 1 * and Y. M. Y. Omar 2

Author Address :

1 Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt.
2 Department of Mathematics, Faculty of Science, Omar Al-Mukhtar University, Libya.

*Corresponding author.

Abstract :

In this work, we study the existence of at least one and exactly one continuous solution $x\in C[0,T]~$ for a delay quadratic integral equation of Volterra-Stieltjes type. The continuous dependent of the unique solution will be also proved. The delay Volterra quadratic integral equation of Chandrasekhar's type will be considered.

Keywords :

Volterra-Stieltjes type, continuous solution, delay functional integral equation, continuous dependence.

DOI :

10.26637/MJM0804/0010

Article Info :

Received : March 12, 2020; Accepted : August 29, 2020.