International Journal of Nonlinear Analysis and Applications
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
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Volume 12, Issue 1
May 2021Pages 405-417
- Receive Date: 11 October 2017
- Revise Date: 11 November 2019
- Accept Date: 26 January 2020