Existence of positive solutions for a third-order multipoint boundary value problem and extension to fractional case

Springer Science and Business Media LLC - Tập 2016 - Trang 1-11 - 2016
Tongchun Hu1, Yongping Sun2, Weigang Sun3
1Department of Public Teaching, Hangzhou Polytechnic, Hangzhou, China
2College of Electronics and Information, Zhejiang University of Media and Communications, Hangzhou, China
3Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, China

Tóm tắt

In this paper, we study a nonlinear third-order multipoint boundary value problem by the monotone iterative method. We then obtain the existence of monotone positive solutions and establish iterative schemes for approximating the solutions. In addition, we extend the considered problem to the Riemann-Liouville-type fractional analogue. Finally, we give a numerical example for demonstrating the efficiency of the theoretical results.

Tài liệu tham khảo

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