Impulse systems with fixed shock times of general disposition: Existence,uniqueness of solution,and the well-posedness of the Cauchy problem

One investigates systems of differential equations with impulse actions at fixed times, when the sequence of the shock times may have finite limit points. For such systems one obtains theorems for the existence and uniqueness of the solution, as well as for the well-posedness of the Cauchy problem.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 2, pp. 230–237, February, 1990.