Research Article

On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

Volume: 41 Number: 2 June 25, 2020
Rauf Amirov *, Yaşar Mehraliyev , Nergiz Heydarzade
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On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions

Abstract

An inverse boundary value problem for a second-order elliptic equation with periodic and integral condition is investigated. The problem is considered in a rectangular domain. To investigate the solvability of the inverse problem, we perform a conversion from the original problem to some auxiliary inverse problem with trivial boundary conditions. By the contraction mapping principle we prove the existence and uniqueness of solutions of the auxiliary problem. Then we make a conversion to the stated problem again and, as a result, we obtain the solvability of the inverse problem.

Keywords

inverse boundary value problem, elliptic equation, Fourier method,classical solution

References

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  9. [9] Megraliyev Y. T., The inverse boundary value problem for second- order elliptic equation with an additional integral condition, Bulletin of the Udmurt University, Mathematics, Mechanics, Computer Science, 1 (2012) 32-40.
  10. [10] Khudaverdiyev K. I. Veliyev A. A., The study of a one- dimensional mixed problem for one class of third-order pseudo-hyperbolic equations with nonlinear operator right- hand side, Baku: Chashiogly, 2010, 168P.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Yaşar Mehraliyev This is me
0000-0002-2054-3219
Azerbaijan

Nergiz Heydarzade This is me
Azerbaijan

Publication Date

June 25, 2020

Submission Date

February 4, 2020

Acceptance Date

April 18, 2020

Published in Issue

Year 2020 Volume: 41 Number: 2

DOI

https://doi.org/10.17776/csj.684366

IZ

https://izlik.org/JA97LT63CZ

Cite

RIS / Bibtex
APA
Amirov, R., Mehraliyev, Y., & Heydarzade, N. (2020). On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. Cumhuriyet Science Journal, 41(2), 443-455. https://doi.org/10.17776/csj.684366
AMA
1.Amirov R, Mehraliyev Y, Heydarzade N. On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. CSJ. 2020;41(2):443-455. doi:10.17776/csj.684366
Chicago
Amirov, Rauf, Yaşar Mehraliyev, and Nergiz Heydarzade. 2020. “On an Inverse Boundary-Value Problem for a Second-Order Elliptic Equation With Non-Classical Boundary Conditions”. Cumhuriyet Science Journal 41 (2): 443-55. https://doi.org/10.17776/csj.684366.
EndNote
Amirov R, Mehraliyev Y, Heydarzade N (June 1, 2020) On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. Cumhuriyet Science Journal 41 2 443–455.
IEEE
[1]R. Amirov, Y. Mehraliyev, and N. Heydarzade, “On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions”, CSJ, vol. 41, no. 2, pp. 443–455, June 2020, doi: 10.17776/csj.684366.
ISNAD
Amirov, Rauf - Mehraliyev, Yaşar - Heydarzade, Nergiz. “On an Inverse Boundary-Value Problem for a Second-Order Elliptic Equation With Non-Classical Boundary Conditions”. Cumhuriyet Science Journal 41/2 (June 1, 2020): 443-455. https://doi.org/10.17776/csj.684366.
JAMA
1.Amirov R, Mehraliyev Y, Heydarzade N. On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. CSJ. 2020;41:443–455.
MLA
Amirov, Rauf, et al. “On an Inverse Boundary-Value Problem for a Second-Order Elliptic Equation With Non-Classical Boundary Conditions”. Cumhuriyet Science Journal, vol. 41, no. 2, June 2020, pp. 443-55, doi:10.17776/csj.684366.
Vancouver
1.Rauf Amirov, Yaşar Mehraliyev, Nergiz Heydarzade. On an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions. CSJ. 2020 Jun. 1;41(2):443-55. doi:10.17776/csj.684366

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