Title of article
Differential Equations with Fuzzy Parameters via Differential Inclusions
Author/Authors
Tadeusz Rze?zuchowski and Janusz Wa¸sowski1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2001
Pages
18
From page
177
To page
194
Abstract
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.
Keywords
ordinary differential equations , ?-cuts , hypograph metric , continuous dependence. , Fuzzy parameters , differentialinclusions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2001
Journal title
Journal of Mathematical Analysis and Applications
Record number
932486
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