IJPAM: Volume 57, No. 3 (2009)
AVERAGING OF DIFFERENTIAL EQUATIONS WITH
HUKUHARA DERIVATIVE WITH MAXIMA
HUKUHARA DERIVATIVE WITH MAXIMA
Olga D. Kichmarenko
Department of Optimal Control and Economic Cybernetics
Odessa National ``I.I. Mechnikov'' University
2, Dvoryanskaya Str., Odessa, 65026, UKRAINE
e-mail: [email protected]
Department of Optimal Control and Economic Cybernetics
Odessa National ``I.I. Mechnikov'' University
2, Dvoryanskaya Str., Odessa, 65026, UKRAINE
e-mail: [email protected]
Abstract.Justification of the averaging method for differential equations with Hukuhara derivative with maxima is presented. Two theorems on substantiates for differential equations with Hukuhara derivative with maxima are established.
Received: November 23, 2009
AMS Subject Classification: 34K33, 26A33
Key Words and Phrases: averaging method, differential equations with Hukuhara derivative, differential equations with delay, differential equations with maxima, automatic regulation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3