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

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Published: Jul 5, 2026
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

How to Cite
Goziyev, Q. S., & Sharifjonova, N. S. qizi. (2026). BOUNDARY VALUE PROBLEM FOR AN EQUATION INVOLVING A FOURTH-ORDER LAPLACE OPERATOR OF COMPLEX TYPE. Research Focus International Scientific Journal, 5(6), 10–20. https://doi.org/10.66073/researchfocus.v5i6.2378
Issue
Vol. 5 No. 6 (2026): Research Focus International Scientific Journal. Volume 5, Issue 6 (2026)
Section
01.00.00 – Physical and Mathematical Sciences

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