On solutions of differential inclusions with impulse structure

D. V. Ponomariov

Institute of Mathematics, Economics and Information Science, Irkutsk State University, 20, Gagarin Blvd., Irkutsk, 664003

Abstract: Two types of differential inclusions with impulse structure are considered in this article. First inclusions with delta-functions as summands and then others with delta-functions as coefficients are distinguished. Structure of solutions for these inclusions is determined and conditions for existence of the solutions are proved.

Keywords: differential inclusion; delta-function; discontinuous trajectories; impulse system.

UDC: 517.911.5