# Inverse problem for a fourth-order parabolic equation considering the additional high-order derivative in the initial condition.

## Inverse problem for a fourth-order parabolic equation considering the additional high-order derivative in the initial condition.

## Abstract

Introduction

We consider an inverse problem in this article. Actually, when high-order derivatives with respect

to t, exceeding the order of the equation are specified in the initial conditions.

A.N. Tikhonov was the first to study the problem with a high-order derivative on part of the domain

boundary. A problem for the homogeneous heat equation with the following conditions was studied in [1]

## References

Tikhonov A.N. On boundary conditions containing derivatives of order exceeding the order of the equation. Math. collection. 1950. V. 26, issue 1. P. 35-56.

Bitsadze A.V. To the Neumann problem for harmonic functions. Reports of the Academy of Sciences of the USSR. 1990. V. 311, p. 11-13.

Moiseev E.I. On the solution of a nonlocal boundary value problem by the spectral method. Differentialequations. 1999, V. 35, No.8, p. 1094-1100.

## Published

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/566