DocumentCode
553101
Title
Almost periodic mild solutions to semilinear fuzzy differential equations
Author
Jinghuai Liu
Author_Institution
Dept. of Math. & Phys., Zhengzhou Inst. of Aeronaut. Ind. Manage., Zhengzhou, China
Volume
2
fYear
2011
fDate
26-28 July 2011
Firstpage
774
Lastpage
777
Abstract
In this paper, we consider the semilinear fuzzy differential equation x´(t) = Ax(t)⊕ f(t, x(t)), t ∈ R, in a fuzzy-number kind space X, where A is the infinitesimal generator of an exponentially stable C0-semigroup {T(t)}t≥0 on X. Under suitable conditions on f, we prove the existence and uniqueness of an almost periodic mild solution to the semilinear fuzzy differential equation.
Keywords
differential equations; fuzzy set theory; fuzzy-number; periodic mild solutions; semilinear fuzzy differential equations; Differential equations; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Generators;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
Conference_Location
Shanghai
Print_ISBN
978-1-61284-180-9
Type
conf
DOI
10.1109/FSKD.2011.6019675
Filename
6019675
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