A Boundary Value Problem for the Equation of Motion of a Homogeneous Bar with Periodic Conditions

Elvin I. Azizbayov^1, and Yashar T. Mehraliyev²

¹Department of Computational mathematics, Baku State University, Baku, Azerbaijan

²Department of Differential and Integral Equations, Baku State University, Baku, Azerbaijan

Cite this paper

Elvin I. Azizbayov and Yashar T. Mehraliyev. A Boundary Value Problem for the Equation of Motion of a Homogeneous Bar with Periodic Conditions. American Journal of Applied Mathematics and Statistics. 2015; 3(6):252-256. doi: 10.12691/AJAMS-3-6-6

Abstract

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

Keywords

nonlocal, boundary value problem, classical solution, Fourier method, homogeneous bar

Copyright

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