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
Link To Document :
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