摘要：The paper deals with the singular systems of ordinary differential equations with impulsive action under the assumption that the considered systems can be reduced into the central canonical form. An approach which combines the theory of impulsive differential equations and known results from the theory of singular Fredholm boundary value problems is used. Necessary and sufficient conditions for the existence of solutions of the singular boundary value problems with impulsive action are derived. Moreover, an algorithm for the construction of the family of linearly independent solutions is shown. MSC:34A09, 34A37.
关键词：singular systems ; impulsive action ; central canonical form ; existence of solutions ; Moore-Penrose pseudo-inverse matrix
