RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki: Year: Volume: Issue: Page: Find

 Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2016, Volume 26, Issue 4, Pages 503–514 (Mi vuu556)

MATHEMATICS

Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind

Ya. T. Megraliev, F. Kh. Alizade

Baku State University, ul. Z. Khalilova, 23, Baku, AZ1148, Azerbaijan

Abstract: This paper is concerned with an inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions. The definition of a classical solution of the problem is introduced. The goal of this paper is to determine the unknown coefficient and to solve the problem of interest. 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 value problem, Boussinesq equation, existence, uniqueness, classical solution.

DOI: https://doi.org/10.20537/vm160405

Full text: PDF file (255 kB)
References: PDF file   HTML file

Bibliographic databases:

UDC: 517.95
MSC: 35-XX

Citation: Ya. T. Megraliev, F. Kh. Alizade, “Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:4 (2016), 503–514

Citation in format AMSBIB
\Bibitem{MegAli16} \by Ya.~T.~Megraliev, F.~Kh.~Alizade \paper Inverse boundary value problem for a Boussinesq type equation of fourth order with nonlocal time integral conditions of the second kind \jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki \yr 2016 \vol 26 \issue 4 \pages 503--514 \mathnet{http://mi.mathnet.ru/vuu556} \crossref{https://doi.org/10.20537/vm160405} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3604251} \elib{http://elibrary.ru/item.asp?id=27673736} 

• http://mi.mathnet.ru/eng/vuu556
• http://mi.mathnet.ru/eng/vuu/v26/i4/p503

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Ya. T. Megraliev, B. K. Velieva, “Obratnaya kraevaya zadacha dlya linearizovannogo uravneniya Benni-Lyuka s nelokalnymi usloviyami”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:2 (2019), 166–182
•  Number of views: This page: 366 Full text: 167 References: 32