Glasnik Matematicki, Vol. 37, No.2 (2002), 275-281.

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR MAXIMUM EQUATIONS

Ljubomir P. Georgiev and Vasil G. Angelov

University of Mining and Geology "St. I. Rilski", Department of Mathematics, 1700 Sofia, Bulgaria
e-mail: angelov@mgu.bg


Abstract.   An existence-uniqueness result for the Cauchy problem for a system of ordinary differential equations with maximums is established.

2000 Mathematics Subject Classification.   34K05, 34G20, 34K35.

Key words and phrases.   Maximum equations, fixed points, uniform spaces, automatic control regulations.


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