Two-point boundary value problems for first-order nonlinear fuzzy differential equation

被引：7

作者：

Wang, Hongzhou ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nonlinear fuzzy differential equations; two-point boundary value problem; contracting mapping principle; INTEGRODIFFERENTIAL EQUATIONS; MULTIPLE SOLUTIONS; GLOBAL-SOLUTIONS; EXISTENCE;

D O I：

10.3233/IFS-152081

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper provides some existence results about first-order fuzzy differential equations with two-point boundary value conditions. We firstly study a class of linear fuzzy differential equation, the results are applied to discuss some nonlinear fuzzy boundary value problems. By using contraction mapping principle in complete metric space, we obtain some existence results about first-order nonlinear fuzzy differential equation with boundary value condition x(0) = alpha x(T), where alpha is an element of R.

引用

页码：3335 / 3347

页数：13

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