TOʻRTINCHI TARTIBLI MURAKKAB TURDAGI LAPLAS OPERATORI QATNASHGAN TENGLAMA UCHUN CHEGARAVIY MASALA

BOUNDARY VALUE PROBLEM FOR AN EQUATION INVOLVING A FOURTH-ORDER LAPLACE OPERATOR OF COMPLEX TYPE

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Published: 2026-07-05
DOI: https://doi.org/10.66073/researchfocus.v5i6.2378
Keywords:
Green’s formula, higher-order equation, Laplace operator, uniqueness of the solution, existence of the solution, energy integral

Main Article Content

Qobiljon Solijonovich Goziyev
Candidate of Physical and Mathematical Sciences, Associate Professor, Fergana State University
Nozimaxon Soyibjon qizi Sharifjonova
Master’s student in Mathematics, Fergana State University

Abstract

The article considers a boundary value problem for a fourth-order equation of complex type. The uniqueness of the solution is proved by the integral energy method, while the existence of the solution is established using the theory of integral equations.

Article Details

Issue

Vol. 5 No. 6 (2026): Research Focus International Scientific Journal. Volume 5, Issue 6 (2026)

Section

01.00.00 – Physical and Mathematical Sciences
Creative Commons License

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

How to Cite

BOUNDARY VALUE PROBLEM FOR AN EQUATION INVOLVING A FOURTH-ORDER LAPLACE OPERATOR OF COMPLEX TYPE. (2026). Research Focus International Scientific Journal, 5(6), 10-20. https://doi.org/10.66073/researchfocus.v5i6.2378

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