Metadata (abstracts and keywords) for the articles in the journal
Maximova L.A., Yudenkov A.V. On the Solvability of Classical Boundary Value Problems for Bianalytic Functions in the Mathematical Theory of Elasticity // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2025. № 4(66). p. 225-235
Author(s):
Maximova L.A., Yudenkov A.V.
Index of UDK:
539.374
DOI:
10.37972/chgpu.2025.66.4.015
Title:
On the Solvability of Classical Boundary Value Problems for Bianalytic Functions in the Mathematical Theory of Elasticity
Keywords:
Boundary value problem, conformal mapping, bianalytical function.
Abstracts:
The article explores the solvability of classical boundary value problems for bianalytical functions, which generalize the basic problems of elasticity theory. The Noetherianism of boundary value problems has been established. The dependence of the number of solutions to homogeneous problems and the number of solvability conditions for heterogeneous problems on the indices of boundary coefficients in boundary conditions is established. The results obtained make it possible to significantly expand the possibilities of using numerical methods when working with mathematical models of problems in the theory of elasticity.
The contact details of authors:
Lyudmila A. Maximova, Doctor of Physical and Mathematical Sciences, Professor; e-mail: maximova_ng@mail.ru
Aleksey V. Yudenkov, Doctor of Physical and Mathematical Sciences, Professor; e-mail: aleks-ydenkov@mail.ru; https://orcid.org/0000-0001-8329-1146
Russian
English