Asimptoticeskoe razlozenie dlja resenija neodnorodnogo raznostnogo uravnenija obscego vida

Abstract

We obtain an asymptotic expansion for the solution of a nonhomogeneous difference equation of general type. The influence of the roots of the characteristic equation is taken into a count. An integral estimate with submultiplicative weight function is established for the remainder term depending on the existence of a corresponding submultiplicative moment of the free term of the equation.