An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order

Authors

  • K.T. Karimov Author
  • D.D. Oripov Author

DOI:

https://doi.org/10.29229/uzmj.2025-4-15

Keywords:

degenerate equation, initial-boundary value problem, method of separation of variables, spectral problem, Green's function method, integral equation, Fourier series

Abstract

In this paper, an initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order in a rectangle is formulated and investigated. The method of energy integrals is used to prove the uniqueness of the solution to the problem, and using spectral analysis methods and the Green function, the solution to the considered problem is constructed as the sum of a Fourier series.

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Published

2025-11-03

Issue

Vol. 69 No. 4 (2025): Uzbek Mathematical Journal

Section

Others

How to Cite

An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order. (2025). Uzbek Mathematical Journal, 69(4), 152-164. https://doi.org/10.29229/uzmj.2025-4-15