The Second Boundary Value Problem for Differential-Difference Equations

Abstract: We consider the second boundary value problem for a second-order differential-difference equation with variable coefficients on the interval (0, d). It was obtained the necessary and sufficient condition for the existence of a generalized solution. It was proved that, if the right-hand side of the equation is orthogonal in (Formula presented.) to some functions, then a generalized solution from the Sobolev space (Formula presented.) belongs to the space (Formula presented.). © 2021, Pleiades Publishing, Ltd.

Authors
Skubachevskii A.L. 1, 2 , Ivanov N.O. 1
Journal
Doklady Mathematics
Number of issue
2
Language
English
Pages
282-284
Status
Published
Link
External link
DOI
10.1134/S106456242105015X
Volume
104
Year
2021
Organizations
  • 1 Mathematical Institute of the RUDN University, Moscow, Russian Federation
  • 2 Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russian Federation
Keywords
boundary value problem; differential–difference equations; generalized solutions
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