A note on the averaging method for differential equations with maxima

Subject Areas : Operation Research

Victor Plotnikov ¹ , Olga Kichmarenko ²

1 - Department of Optimal Control and Economic Cybernetics Odessa National I.I. Mechnikov University Dvoryanskaya str., 2, Odessa, 65026, Ukraine
2 - Department of Optimal Control and Economic Cybernetics Odessa National I.I. Mechnikov University Dvoryanskaya str., 2, Odessa, 65026, Ukraine

Received: 2009-05-07 Accepted : 2009-06-25 Published : 2009-07-01

Keywords: Averaging method, Differential equations with delay, Differential equations with maxima, Automatic regulation,

Abstract :

Substantiation of the averaging method for differential equations with maxima is presented. Two theorems on substantiates for differential equations with maxima are established.

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