Degenerated integro-differential equations of special kind in Banach spaces and it's applications
Автор: Falaleev M.V., Orlov S.S.
Статья в выпуске: 4 (221), 2011 года.
Бесплатный доступ
In this paper a special class of degenerated linear integro-differential equations in Banach spaces is investigated by the methods of the theory of fundamental operator-functions of singular integro-differential operators. Sufficient conditions of existence and uniqueness of Cauchy problem of classical solution are obtained. Abstract results are illustrated by two initial boundary value problems, arised in mathematical theory of viscoelasticity.
Banach spaces, fundamental operator-function, distributions
Короткий адрес: https://sciup.org/147159119
IDR: 147159119
Статья научная