EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION

Volume: 10 Number: 2 March 1, 2020
  • I. Tekin
EN

EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION

Abstract

In this paper, an initial boundary value problem for a wave equation with dynamic boundary condition is considered. Giving an additional condition, a timedependent coefficient is determined and existence and uniqueness theorem for small times is proved.

Keywords

References

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  6. Fulton C. T., (1977), Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. R. Soc. Edinburgh: Sect. A Math. 77, 293-388.
  7. Goldstein, G. R., (2006), Derivation and physical interpretation of general boundary conditions. Ad- vances in Differential Equations 11(4), 457-480.
  8. Hazanee, A., Lesnic, D., Ismailov, M. I. and Kerimov, N. B., (2015), An inverse time-dependent source problem for the heat equation with a non-classical boundary condition, Applied Mathematical Modelling, 39(20), 6258-6272.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

I. Tekin This is me

Publication Date

March 1, 2020

Submission Date

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Acceptance Date

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Published in Issue

Year 2020 Volume: 10 Number: 2

APA
Tekin, I. (2020). EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION. TWMS Journal of Applied and Engineering Mathematics, 10(2), 370-378. https://izlik.org/JA54CC59YP
AMA
1.Tekin I. EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION. JAEM. 2020;10(2):370-378. https://izlik.org/JA54CC59YP
Chicago
Tekin, I. 2020. “EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION”. TWMS Journal of Applied and Engineering Mathematics 10 (2): 370-78. https://izlik.org/JA54CC59YP.
EndNote
Tekin I (March 1, 2020) EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION. TWMS Journal of Applied and Engineering Mathematics 10 2 370–378.
IEEE
[1]I. Tekin, “EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION”, JAEM, vol. 10, no. 2, pp. 370–378, Mar. 2020, [Online]. Available: https://izlik.org/JA54CC59YP
ISNAD
Tekin, I. “EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION”. TWMS Journal of Applied and Engineering Mathematics 10/2 (March 1, 2020): 370-378. https://izlik.org/JA54CC59YP.
JAMA
1.Tekin I. EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION. JAEM. 2020;10:370–378.
MLA
Tekin, I. “EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 2, Mar. 2020, pp. 370-8, https://izlik.org/JA54CC59YP.
Vancouver
1.I. Tekin. EXISTENCE AND UNIQUENESS OF AN INVERSE PROBLEM FOR A WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITION. JAEM [Internet]. 2020 Mar. 1;10(2):370-8. Available from: https://izlik.org/JA54CC59YP