# A NONLOCAL PROBLEM WITH INTEGRAL CONDITION FOR A FOURTH ORDER EQUATION

**Authors:**Dmitriev V.B.^{1}-
**Affiliations:**- Samara College of railway transport. A. A. Buyanova, Samara, 443066, Russian Federation.

**Issue:**Vol 22, No 3-4 (2016)**Pages:**32-50**Section:**Статьи**URL:**https://journals.ssau.ru/est/article/view/4256**DOI:**https://doi.org/10.18287/2541-7525-2016-22-3-4-32-50

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## Full Text

## 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.

## About the authors

### V. B. Dmitriev

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

**Author for correspondence.**

Email: morenov.sv@ssau.ru

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