Higher-order nonlinear ordinary differential equations with nonlocal Stieltjes boundary conditions

Document Type : Research Paper

Authors

1 Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

2 Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

10.22075/ijnaa.2019.12716.1652

Abstract

In this paper, we study some new boundary value problems of nonlinear $nth$-order ordinary differential equations supplemented with nonlocal Stieltjes type strip and multi-strip boundary
conditions. The existence and uniqueness results for the given problems are obtained by means of fixed point theorems due to Schauder and Banach, and are well illustrated with the aid of
examples.

Keywords