IJPAM: Volume 56, No. 2 (2009)
THE GENERALIZED SOLUTIONS OF
THE FUZZY DIFFERENTIAL INCLUSIONS
THE FUZZY DIFFERENTIAL INCLUSIONS
Andrej V. Plotnikov
, Natalia V. Skripnik
Department of Numerical Analysis, SAPR
Odessa State Academy of Civil Engineering and Architecture
4, Didrihsona Str., Odessa, 65029, UKRAINE
e-mail: a-plotnikov@ukr.net
Department of Optimal Control and Economics Cybernetics
Odessa National University ``I.I. Mechnikov''
2, Dvoryanskaya Str., Odessa, 65026, UKRAINE
e-mail: talie@ukr.net
, Natalia V. Skripnik
Department of Numerical Analysis, SAPR
Odessa State Academy of Civil Engineering and Architecture
4, Didrihsona Str., Odessa, 65029, UKRAINE
e-mail: a-plotnikov@ukr.net
Department of Optimal Control and Economics Cybernetics
Odessa National University ``I.I. Mechnikov''
2, Dvoryanskaya Str., Odessa, 65026, UKRAINE
e-mail: talie@ukr.net
Abstract.In this article we introduce the definition of the generalized solution of the fuzzy differential inclusion and find the conditions when this solution is equivalent to the ordinary one.
Received: August 3, 2009
AMS Subject Classification: 34A60, 03E72
Key Words and Phrases: fuzzy differential inclusion
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 2