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Differential Equations with Fuzzy Parameters via Differential Inclusions

✍ Scribed by Tadeusz Rzeżuchowski; Janusz Wa̧sowski

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
134 KB
Volume
255
Category
Article
ISSN
0022-247X

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✦ Synopsis

We give a definition of solutions of ordinary differential equations in n containing parameters which are described by changing in time fuzzy sets. They are defined as fuzzy subsets of the space of absolutely continuous functions. We introduce a hypograph metric in the space of fuzzy sets and prove a theorem on continuous dependence of fuzzy solutions on parameters and initial conditions with respect to that metric.

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