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

	Existence theory for higher-order nonlinear ordinary‎ ‎differential equations with nonlocal Stieltjes boundary‎ ‎conditions
International Journal of Nonlinear Analysis and Applications
مقاله 31، دوره 12، شماره 1، مرداد 2021، صفحه 405-417 اصل مقاله (418.78 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4813
نویسندگان
Bashir Ahmad^* ¹؛ Ahmed Alsaedi²؛ Nada Al-Malki²
¹‎Department of Mathematics‎, ‎Faculty of Science‎, ‎King Abdulaziz‎ ‎University‎, ‎P.O‎. ‎Box 80203‎, ‎Jeddah 21589‎, ‎Saudi Arabia
²‎Department of Mathematics‎, ‎Faculty of Science‎, ‎King Abdulaziz‎ ‎University‎, ‎P.O‎. ‎Box 80203‎, ‎Jeddah 21589‎, ‎Saudi Arabia‎
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.
کلیدواژه‌ها
‎higher-order differential equations؛ ‎ ‎Stieltjes؛ nonlocal boundary conditions؛ fixed point‎
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