ON THE SOLVABILITY OF THE MODIFIED CAUCHY PROBLEM FOR LINEAR SYSTEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH SINGULARITIES

摘要

abstract_textpThe modified Cauchy problem is considered for systems of linear impulsive differential equations with singularities. The singularity is considered in the sense that the matrix-and vector-functions corresponding to the impulsive system are generally not integrable at the initial point. The sufficient conditions are established for the unique solvability of the problem/p/abstract_text