Existence and uniqueness of an inverse problem for a second order hyperbolic equation

İbrahim Tekin

doi:10.32323/ujma.439662

EN

Existence and uniqueness of an inverse problem for a second order hyperbolic equation

Abstract

In this paper, an initial boundary value problem for a second order hyperbolic equation is considered. Giving an additional condition, a time-dependent coefficient multiplying a linear term is determined and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem numerically.

Keywords

Second order hyperbolic equation,Inverse problem,Finite difference method,Finite difference method

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

İbrahim Tekin ^*
0000-0001-6725-5663
Türkiye

Publication Date

September 30, 2018

Submission Date

July 2, 2018

Acceptance Date

August 16, 2018

Published in Issue

Year 2018 Volume: 1 Number: 3

DOI

https://doi.org/10.32323/ujma.439662

IZ

https://izlik.org/JA98LR83BH

APA

Tekin, İ. (2018). Existence and uniqueness of an inverse problem for a second order hyperbolic equation. Universal Journal of Mathematics and Applications, 1(3), 178-185. https://doi.org/10.32323/ujma.439662

AMA

1.Tekin İ. Existence and uniqueness of an inverse problem for a second order hyperbolic equation. Univ. J. Math. Appl. 2018;1(3):178-185. doi:10.32323/ujma.439662

Chicago

Tekin, İbrahim. 2018. “Existence and Uniqueness of an Inverse Problem for a Second Order Hyperbolic Equation”. Universal Journal of Mathematics and Applications 1 (3): 178-85. https://doi.org/10.32323/ujma.439662.

EndNote

Tekin İ (September 1, 2018) Existence and uniqueness of an inverse problem for a second order hyperbolic equation. Universal Journal of Mathematics and Applications 1 3 178–185.

IEEE

[1]İ. Tekin, “Existence and uniqueness of an inverse problem for a second order hyperbolic equation”, Univ. J. Math. Appl., vol. 1, no. 3, pp. 178–185, Sept. 2018, doi: 10.32323/ujma.439662.

ISNAD

Tekin, İbrahim. “Existence and Uniqueness of an Inverse Problem for a Second Order Hyperbolic Equation”. Universal Journal of Mathematics and Applications 1/3 (September 1, 2018): 178-185. https://doi.org/10.32323/ujma.439662.

JAMA

1.Tekin İ. Existence and uniqueness of an inverse problem for a second order hyperbolic equation. Univ. J. Math. Appl. 2018;1:178–185.

MLA

Tekin, İbrahim. “Existence and Uniqueness of an Inverse Problem for a Second Order Hyperbolic Equation”. Universal Journal of Mathematics and Applications, vol. 1, no. 3, Sept. 2018, pp. 178-85, doi:10.32323/ujma.439662.

Vancouver

1.İbrahim Tekin. Existence and uniqueness of an inverse problem for a second order hyperbolic equation. Univ. J. Math. Appl. 2018 Sep. 1;1(3):178-85. doi:10.32323/ujma.439662