Boundary Value Problem For One Class Of Third-Order Equations Of Mixed-Composite Type In A Quadrangular Region

Authors

  • Abulov M.O University of Information Technology and Management, Karshi, Uzbekistan
  • Uzakov Z. Karshi branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Karshi, Uzbekistan

Keywords:

boundary value problem, mixed-composite type equation

Abstract

A boundary value problem for a third-order equation of mixed-composite type in a quadrangular domain is considered. Using the Galerkin method, under certain conditions on the coefficients and the right-hand side of the equation, the existence of a weakly generalized solution in the Sobolev space is proved. Under the same conditions, the uniqueness of the generalized solution is proved.

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Published

2025-06-13

Issue

Vol. 44 (2025): ERB

Section

Articles

License

Copyright (c) 2025 Abulov M.O, Uzakov Z.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Boundary Value Problem For One Class Of Third-Order Equations Of Mixed-Composite Type In A Quadrangular Region. (2025). Eurasian Research Bulletin , 44, 39-42. https://geniusjournals.org/index.php/erb/article/view/6917