eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2015-11-27
3
6
252
256
10.12691/ajams-3-6-6
AJAMS2015366
article
A Boundary Value Problem for the Equation of Motion of a Homogeneous Bar with Periodic Conditions
Elvin I. Azizbayov
eazizbayov@mail.ru
1
Yashar T. Mehraliyev
2
Department of Computational mathematics, Baku State University, Baku, Azerbaijan
Department of Differential and Integral Equations, Baku State University, Baku, Azerbaijan
In this paper the classical solution of a nonlocal boundary value problem for the equation of motion of a homogeneous bar is investigated. Then using Fourier's method stated problem reduced to an integral equation. Further, exploiting the contracting mappings principle the existence and uniqueness of the classical solution for the considered boundary value problem is proved
http://pubs.sciepub.com/ajams/3/6/6/ajams-3-6-6.pdf
nonlocal
boundary value problem
classical solution
Fourier method
homogeneous bar