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

Authors

  • Yuldasheva A. Department of Applied Mathematics and Informatics, Moscow State University, Tashkent Branch, Tashkent, Uzbekistan Author https://orcid.org/0000-0001-6861-8331
  • Sharipova S. National University of Uzbekistan, Uzbekistan Author

DOI:

https://doi.org/10.29229/uzmj.2026-3-21

Keywords:

boundary value problem, fourth-order partial differential equation, algebraic number, Fourier series

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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Published

2026-10-06

Issue

Vol. 70 No. 3 (2026)

Section

Published

How to Cite

On the boundary value problem for the fourth-order partial differential equation. (2026). Uzbek Mathematical Journal, 70(3), 206-210. https://doi.org/10.29229/uzmj.2026-3-21