Infinite point and Riemann–Stieltjes integral conditions for an integro-differential equation

Abstract

In this paper, we study the existence of solutions for two nonlocal problems of integro-differential equation with nonlocal infinite-point and Riemann–Stieltjes integral boundary conditions. The continuous dependence of the solution will be studied.

Keywords

• existence of solutions
• continuous dependence
• nonlocal condition
• Riemann–Stieltjes condition
• infinite point condition