Advanced search
Publication Cover
Cogent Mathematics & Statistics Volume 6, 2019 - Issue 1
Submit an article Journal homepage
586
Views
0
CrossRef citations to date
0
Altmetric
Research Article

An inverse boundary value problem for a linearized Benny–Luc equation with nonlocal boundary conditions

Yashar T. MehraliyevFaculty Mechanics and Mathematics, Department of Differential and Integral equation, Baku State University, Baku, AzerbaijanView further author information
,
Bahar K. ValiyevaFaculty of Mathematics and Informatik, Department of Algebra und Geometry, Ganja State University, Ganja, AzerbaijanView further author information
&
Aysel T. RamazanovaFaculty of Mathematics, Department of Nonlinear Optimization, University Duisburg-Essen, Essen, GermanyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-0166-6018View further author information
ORCID Icon |
Lishan LiuQufu Normal University, Qufu, ChinaView further author information
(Reviewing editor)
Article: 1634316 | Received 20 Feb 2019, Accepted 13 Jun 2019, Published online: 10 Jul 2019

References

  • Algazin, S. D., & Kiyko, I. A. (2006). Flatter plastin i obolochek [Flutter of plates and shells] (pp. 248). Moscow: Nauka Publ. (in Russian).
  • Benney, D. J., & Luke, J. C. (1964). On the interactions of permanent waves of nite amplitude. Journal of Mathematical Physics, 43, 309–19. doi:10.1002/sapm1964431309
  • Eskin, G. (2017). Inverse problems for general second order hyperbolic equations with time-dependent coeffcients. Bulletin of Mathematical Sciences, 7(2), 247–307. doi:10.1007/s13373-017-0100-2
  • Janno, J., & Seletski, A. (2015). Reconstruction of coeffcients of higher order nonlinear wave equations by measuring solitary waves. Wave Motion (north-holland Publishing Company), 52, 15–25. doi:10.1016/j.wavemoti.2014.08.005
  • Jiang, D. J., Liu, Y. K., & Yamamoto, M. (2017). Inverse source problem for the hyperbolic equation with a time-dependent principal part. Journal of Differential Equations, 262(1), 653–681. doi:10.1016/j.jde.2016.09.036
  • Kozhanov, A. I., & Namsaraeva, G. V. (2018). Linear inverse problems for a class of equations of Sobolev type. Chelyabinshiy Fiziko Matematicheskiy Zhurnal, 3(2), 153–171. (in Russian). 10.24411/2500-0101-2018-13203.
  • Lavrentyev, M. M., Romanov, V. G., & Shishatskii, S. T. (1980). Nekorrektnye Zadachi Matematicheskoi Fiziki i Analiza (Ill-posed Problems of Mathematical Physics and Analysis) (pp. 288). Moscow: Nauka Publ. (in Russian).
  • Mehraliyev, Y. T. (2012). On an inverse boundary value problem for a second order elliptic equation with integral condition. Visnyk of the Lviv University. Series Mechanics and Mathematics, 77, 145–156.
  • Nakamura, G., Watanabe, M., & Kaltenbacher, B. (2009). On the identification of a coeffcient function in a nonlinear wave. Inverse Problems, 25(3). doi:10.1088/0266-5611/25/3/035007
  • Shabrov, S. A. (2015). Estimates of the impact function of a mathematical model of the fourth-order(Vol. 2, pp. 168–179) Vestnik Voronezhskogo Gosudarstvennogo Universiteta: Seriya. Fizika-Matematika. (inRussian). https://elibrary.ru/item.asp?id=23478452
  • Shcheglov, A. Y. (2006). Inverse coeffcient problem for a quasilinear hyperbolic equation with final overdetermination. Computational Mathematics and Mathematical Physics, 46(4), 616–635. doi:10.1134/S0965542506040099
  • Tikhonov, A. N. (1963). On the solution of ill-posed problems and the method of regularization. Doklady Akademii Nauk SSSR, 151(3), 501–504. (in Russian). http://mi.mathnet.ru/dan28329
  • Yuldashev, T. K. (2018). On a nonlocal inverse problem for a Benney-Luke type integro-differential equation with degenerate kernel. Vestnik TVGU Seriya Prikladnaya Matematika, 3, 19–41. (in Russian) 10.26456/vtpmk500

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.