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On the boundary value problem for the fourth-order partial differential equation

A. Yuldasheva, S. Sharipova

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Source: Crossref

Published: Oct 6, 2026

DOI: 10.29229/uzmj.2026-3-21

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Source abstract

This paper investigates a boundary value problem for a fourth-order partial differential equation posed in a rectangular domain. The analysis focuses on determining the conditions on the domain's dimensions that guarantee the existence and uniqueness of the solution. The results provide constraints under which the problem is well-posed in the classical sense.

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On the boundary value problem for the fourth-order partial differential equation — Mathematical Frontier Network