On equations containing derivative of the delta-function

The expression u′′ + aδ′u, which is consisted derivative of delta-function as a coefficient, is a formal expression and doesnʼt define operator in L2(R), because a product δ′u is not defined. So according to these reasons the study investigated the family of operators, which are approximated by the...

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Bibliographic Details
Main Author: Alena V. Shkadzinskaya
Format: Article
Language:Belarusian
Published: Belarusian State University 2018-01-01
Series: Журнал Белорусского государственного университета: Математика, информатика
Subjects:
Online Access:https://journals.bsu.by/index.php/mathematics/article/view/754