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

Document Type : Research Paper

Authors

1 ‎Department of Mathematics‎, ‎Faculty of Science‎, ‎King Abdulaziz‎ ‎University‎, ‎P.O‎. ‎Box 80203‎, ‎Jeddah 21589‎, ‎Saudi Arabia

2 ‎Department of Mathematics‎, ‎Faculty of Science‎, ‎King Abdulaziz‎ ‎University‎, ‎P.O‎. ‎Box 80203‎, ‎Jeddah 21589‎, ‎Saudi Arabia‎

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.

Keywords