Criteria for the well-posedness of a linear two-point boundary value problem for systems of integro-differential equations

摘要

We consider a linear two-point boundary value problem for systems of integro-differential equations. By using the parametrization method and an approximation of the integro-differential equation by a loaded differential equation, we establish coefficient tests for the well-posedness of the considered problem and suggest an algorithm for finding the solution. [PUBLICATION ABSTRACT]