Existence theory for higher-order nonlinear ordinary‎ ‎differential equations with nonlocal Stieltjes boundary‎ ‎conditions

نویسندگان

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

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

doi
10.22075/ijnaa.2021.4813
چکیده

‎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.