Research Article

Identification of the time-dependent lowest term in a fourth order in time partial differential equation

Volume: 72 Number: 2 June 23, 2023
EN

Identification of the time-dependent lowest term in a fourth order in time partial differential equation

Abstract

In this article, identification of the time-dependent lowest term in a fourth order in time partial differential equation (PDE) from knowledge of a boundary measurement is studied by means of contraction mapping.

Keywords

References

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  2. Chlouverakis, K. E., Sprott, J. C., Chaotic hyperjerk systems, Chaos, Solitons & Fractals, 28(3) (2006), 739-746. https://doi.org/10.1016/j.chaos.2005.08.019
  3. Choucha, A., Boulaaras, S., Ouchenane, D., Abdalla, M., Mekawy, I., Benbella, A., Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition, AIMS Mathematics, 6(7) (2021), 7585-7624.
  4. Conti, M., Pata, V., Quintanilla, R., Thermoelasticity of Moore-Gibson-Thompson type with history dependence in the temperature, Asymptotic Analysis, 120(1-2) (2020), 1-21. https://doi.org/10.3233/ASY-191576
  5. Dell’Oro, F., Pata, V., On a fourth-order equation of Moore-Gibson-Thompson type, Milan J. Math., 85 (2017), 215-234.
  6. Dell’Oro, F., Pata, V., On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity, Applied Mathematics & Optimization, 7683 (2017), 641-655. https://doi.org/10.1007/s00245-016-9365-1
  7. Dell’ Oro, F., Lasiecka, I., Pata, V., The Moore-Gibson-Thompson equation with memory in the critical case, J Differ Equ., 261 (2016), 4188-4222. https://doi.org/10.1016/j.jde.2016.06.025
  8. Figliolini, G., Lanni, C., Jerk and jounce relevance for the kinematic performance of long-dwell mechanisms, Mechanisms and Machine Science, 73 (2019), 219-228. https://doi.org/10.1007/978-3-030-20131-9 22

Details

Primary Language

English

Subjects

Partial Differential Equations, Applied Mathematics

Journal Section

Research Article

Publication Date

June 23, 2023

Submission Date

June 7, 2022

Acceptance Date

October 31, 2022

Published in Issue

Year 2023 Volume: 72 Number: 2

APA
Tekin, İ. (2023). Identification of the time-dependent lowest term in a fourth order in time partial differential equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(2), 500-511. https://doi.org/10.31801/cfsuasmas.1127250
AMA
1.Tekin İ. Identification of the time-dependent lowest term in a fourth order in time partial differential equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72(2):500-511. doi:10.31801/cfsuasmas.1127250
Chicago
Tekin, İbrahim. 2023. “Identification of the Time-Dependent Lowest Term in a Fourth Order in Time Partial Differential Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (2): 500-511. https://doi.org/10.31801/cfsuasmas.1127250.
EndNote
Tekin İ (June 1, 2023) Identification of the time-dependent lowest term in a fourth order in time partial differential equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 2 500–511.
IEEE
[1]İ. Tekin, “Identification of the time-dependent lowest term in a fourth order in time partial differential equation”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 72, no. 2, pp. 500–511, June 2023, doi: 10.31801/cfsuasmas.1127250.
ISNAD
Tekin, İbrahim. “Identification of the Time-Dependent Lowest Term in a Fourth Order in Time Partial Differential Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72/2 (June 1, 2023): 500-511. https://doi.org/10.31801/cfsuasmas.1127250.
JAMA
1.Tekin İ. Identification of the time-dependent lowest term in a fourth order in time partial differential equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72:500–511.
MLA
Tekin, İbrahim. “Identification of the Time-Dependent Lowest Term in a Fourth Order in Time Partial Differential Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 72, no. 2, June 2023, pp. 500-11, doi:10.31801/cfsuasmas.1127250.
Vancouver
1.İbrahim Tekin. Identification of the time-dependent lowest term in a fourth order in time partial differential equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023 Jun. 1;72(2):500-11. doi:10.31801/cfsuasmas.1127250

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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