On the Solvability of a Class of Volterra Operator Equations of the First Kind with Piecewise Continuous Kernelsстатья
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Дата последнего поиска статьи во внешних источниках: 3 июля 2019 г.
Аннотация:The sufficient conditions for the existence and uniqueness of continuous solutions of Volterra operator equations of the first kind with piecewise determined kernels are derived. For the case in which the solution is not unique, we prove existence theorems for the parametric families of solutions and present their asymptotics in the form of logarithmic polynomials.