Justification of the averaging method for a system of singularly perturbed differential equations with impulses |
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| Authors: | S. D. Milusheva D. D. Bainov |
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| Affiliation: | 1. Higher Institute of Mechanical and Electrical Engineering, Sofia
2. University of Plovdiv, Bulgaria
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| Abstract: | The averaging method is justified for a system of singularly perturbed differential equations of the form $$dot x(t) = Xleft( {t,frac{t}{varepsilon },x(t),y(t),varepsilon } right),varepsilon dot y(t) = Y(t,x(t),y(t))$$ , in the presence of impulses. |
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