BIFURCATION OF SOLUTIONS OF THE BOUNDARY-VALUE PROBLEM FOR SYSTEMS OF INTEGRODIFFERENTIAL EQUATIONS WITH DEGENERATE KERNEL

摘要

We establish sufficient conditions for the existence of solutions of a weakly perturbed linear boundary-value problems for a system of integrodifferential equations. We also establish conditions for the existence and uniqueness of solutions of problems of this kind and propose an iterative procedure for the construction of the required solutions.