Monotone iterative method for boundary value problems of fuzzy differential equations¹

Article type: Research Article

Authors: Wang, Hongzhou^*

Affiliations: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China

Correspondence: [*] Corresponding author. Hongzhou Wang, School of Mathematics and Statistics, Beijing Institute of Technology, Haidian District 100081, Beijing, China. Tel./Fax: +86 010 6891 2581; E-mail: [email protected].

Note: [1] This work was supported by National Natural Science Foundation of China (No. 11471036)

Abstract: This paper provides some existence results about first-order fuzzy differential equation with two-point boundary value condition. Firstly, we study a class of linear fuzzy differential equation and some necessary conditions for the existence of solutions are provided. Based on these conditions and the upper and lower solutions method, we obtain some existence results about first-order nonlinear differential equations with the same boundary value condition.

Keywords: Nonlinear fuzzy differential equations, boundary value problem, monotone iterative technique, upper and lower solutions

DOI: 10.3233/IFS-151806

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 831-843, 2016