Existence Theory for Higher-Order Nonlinear Ordinary Differential Equations with Nonlocal Stieltjes Boundary Conditions

Abstract

‎In this paper‎, ‎we develop the existence theory for some boundary‎ value problems of nonlinear $nth$-order ordinary differential‎ ‎equations supplemented with nonlocal Stieltjes boundary‎ conditions‎. ‎Our results are based on some standard theorems of‎ ‎fixed point theory and are well illustrated with the aid of‎ ‎examples‎.