Abstract:
The goal of the article is the study of solvability in the Sobolev spaces of boundary value problems for some classes of Sobolev-type fourth-order linear equations. We will prove that an initial boundary value problems well problems with data both at the initial time moment and the final time moments can be well-posed for the equations under study.
Keywords:Sobolev-type fourth-order differential equation, boundary value problem, existence, uniqueness.
UDC:
517.9
Received: 10.03.2021 Received in revised form: 05.04.2021 Accepted: 20.05.2021