Asymptotics of a solution of a system of integrodifferential equations with time delay
A system of n second order integrodifferential equations with deviating argument is studied with respect to its solvability, in some conditions for the coefficients. Searching the solution of the system in an adequate form, the second order system is reduced to a first order one, which is solved asymptotically in the case when the characteristic equation has nonzero multiple roots. The case of simple roots was studied by the author in an earlier paper. A step by step determination algorithm for the solution is indicated and the form of the solution is given.
scientific article; zbMATH DE number 3975606