This study deals with a boundary-value problem for a linear Fred-holm integro-differential equation subject to impulse effects at fixed time points. Solvability criteria are provided in terms of input data, without the use of a fundamental matrix and a resolvent. We also propose an algorithm to solve the problem under consideration, establish its convergence conditions, and provide a numerical version of the algorithm.
MSC Classification: 34A37; 34B37; 45J05; 45J99; 34K28