On a delay Volterra-Stieltjes quadratic integral equation
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 :
Article Info :
Received : March 12, 2020; Accepted : August 29, 2020.