On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

الملخص EN

We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type.

To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.

Since the mentioned Erdélyi-Kober integral equation turns out to be a special case of that of Volterra-Stieltjes type, we can apply the obtained results to the Erdélyi-Kober integral equation.

Examples illustrating the obtained results will be also included.