Metadata (abstracts and keywords) for the articles in the journal
Maximova L. A., Yudenkov A. V. THE THEORY OF STOCHASTIC POTENTIAL IN THE PLANE THEORY OF ELASTICITY // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2015. № 4(26). p. 134-142
Author(s):
Maximova L. A., Yudenkov A. V.
Index of UDK:
539.3+534.121.1
DOI:
Title:
THE THEORY OF STOCHASTIC POTENTIAL IN THE PLANE THEORY OF ELASTICITY
The paper develops a stochastic theory-building in connection with its application to
the solution of basic problems of the theory of elasticity. Particular attention is paid to the Dirichlet
problem for N analytic functions. The relevance of the research topic is related to the fact that the
theory of stochastic boundary value problems in the class of N analytic functions being formed.
In the work is given an exact mathematical formulation of stochastic Dirichlet problem for N is
an analytic function. It develops the necessary mathematical apparatus. A theorem on the existence
and uniqueness of solutions. Get a general algorithm for solving stochastic Dirichlet problem for
a fairly wide class of regions and contours, its stability is investigated. We give an example of the
first major decisions of the elasticity problem with the use of stochastic Dirichlet problem for the
n-analytic functions.
In the study we used the theory of boundary value problems for analytic functions and bianalytic,
X-boundary properties of analytic functions, properties of stochastic differential systems.
The contact details of authors:
1. Maximova Lyudmila Anatolievna
e-mail: maximova_ng@mail.ru, Doctor of Physics and Mathematics, Professor, Chuvash State
University, Cheboksary, Russia; I. Yakovlev Chuvash State Pedagogical University, Cheboksary,
Russia.
2. Yudenkov Alexey Vitalevich, Doctor of Physics and Mathematics, Professor, Smolensk State
Agricultural Academy, Smolensk, Russia.