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SOME EXISTENCE RESULTS FOR FIRST-ORDER DIFFERENTIAL INCLUSIONS AND DRILLING MODEL SYSTEMS
  • Ali Rezaiguia
Ali Rezaiguia
Universite Mohamed Cherif Messaadia de Souk-Ahras
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Abstract

By using Schaefer's fixed point theorem combined with the selection theorem of Bressan and Colombo for lower semi-continuous maps with decomposable values, we prove the existence of solutions for a rst-order differential inclusion system . and also we prove a Filippov-Gronwall type inequality for solutions for this problem type. We end our work by some examples about drilling model systems to give some conditions for existence of solution.