On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation

Abstract

In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral condition will also be considered. Some examples will be provided to illustrate our results.

Keywords

• state-dependence
• solutions
• integral boundary condition
• infinite-point boundary condition
• examples