Author/Authors :
Ahmad, Bashir Nonlinear Analysis and Applied Mathematics (NAAM) Research Group - Department of Mathematics - Faculty of Science - King Abdulaziz University, Jeddah, Saudi Arabia , Alsaedi, Ahmed Nonlinear Analysis and Applied Mathematics (NAAM) Research Group - Department of Mathematics - Faculty of Science - King Abdulaziz University, Jeddah, Saudi Arabia , Al-Malki, Nada Nonlinear Analysis and Applied Mathematics (NAAM) Research Group - Department of Mathematics - Faculty of Science - King Abdulaziz University, Jeddah, 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 :
higher-order differential equations , Stieltjes , nonlocal boundary conditions , fixed point