V. B. Dmitriev, “A nonlocal problem with integral condition for a fourth order equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, Issue 3-4,Pages <nobr>32

This article is cited in 2 papers

Mathematics

A nonlocal problem with integral condition for a fourth order equation

V. B. Dmitriev

Samara College of railway transport. A. A. Buyanova, Samara, 443066, Russian Federation

Abstract: In this paper we consider initial-boundary problems with integral conditions for certain fourth order equation. Unique solvability of posed problems is proved. The proof is based on apriori estimates, regularization method, auxiliary problems method, embedding theorems.

Keywords: equation of 4-th order, nonlocal conditions, embedding theorems, generalized solution, Sobolev spaces.

UDC: 517.956.3

Received: 22.06.2016