Uniqueness theorem for biharmonic functions given in three-dimensional Euclidian space 𝑅3
https://doi.org/10.22405/2226-8383-2025-26-5-287-298
Abstract
This work is devoted to studying the properties of the method of the constructed function
𝜙𝜎(𝑦, 𝑥), which is defined in the infinite domain D of three-dimensional Euclidean space. In this
work, we prove results that allow us to assert the boundedness of a biharmonic function inside
a certain three-dimensional region if it is bounded with its normal derivative at the boundaries
of this region.
About the Authors
Zebiniso Rahimovna Ashurova
Uzbek-Finnish Pedagogical Institute
Uzbekistan
Uzbekistan
associate professor
Umidakhon Yunusalievna Jurayeva
Samarkand State University
Uzbekistan
Uzbekistan
doctoral student
Nodirakhon Yunusovna Jurayeva
Tashkent University of Information Technologies named after Mu-hammad al-Kharazmi
Uzbekistan
Uzbekistan
associate professor
Feruza Utkirjanovna Mallaeva
Samarkand State University
Uzbekistan
Uzbekistan
student,
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Review
For citations:
Ashurova Z.R., Jurayeva U.Yu., Jurayeva N.Yu., Mallaeva F.U. Uniqueness theorem for biharmonic functions given in three-dimensional Euclidian space 𝑅3. Chebyshevskii Sbornik. 2025;26(5):287-298. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-5-287-298
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