Some global existence results and stability theorem for fuzzy functional differential equations

被引：22
|
作者：
Ngo Van Hoa [1 ,3 ]
Phan Van Tri [2 ]
Tran Trong Dao [3 ]
Zelinka, Ivan [3 ,4 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Ton Duc Thang Univ, Div MERLIN, Ho Chi Minh City, Vietnam
[4] VSB Tech Univ Ostrava, Fac Elect Engn & Comp Sci, Dept Comp Sci, Ostrava, Czech Republic
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 01期
关键词：
Fuzzy sets; fuzzy functional differential equations; strongly generalized Hukuhara derivative; stability theorems; VALUED FUNCTIONS;
D O I：
10.3233/IFS-141315
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we establish the global existence and uniqueness results for fuzzy functional differential equations (FFDEs) by using two different methods. We have extended and generalized some comparison theorems and stability theorem for FFDEs with definition a new Lyapunov-like function. Some examples are given to illustrate these results.
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页码：393 / 409
页数：17
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