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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 156, Pages 89–102 (Mi into400)  
This article is cited in 18 scientific papers (total in 18 papers)

Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney–Luke integro-differential equation with degenerate kernel

T. K. Yuldashev

M. F. Reshetnev Siberian State University of Science and Technologies
Full-text PDF (208 kB) Citations (18)
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Abstract: Using the Fourier method of separation of variables, we examine the classical solvability and construct solutions of a nonlocal inverse boundary-value problem for the fourth-order Benney–Luke integro-differential equation with degenerate kernel. We prove the criterion of the unique solvability of the inverse boundary-value problem and examine the stability of solutions with respect to the recovery function.
Keywords: integro-differential equation, Benney–Luke equation, fourth-order equation, degenerate kernel, integral condition, classical solvability.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 254, Issue 6, Pages 793–807
DOI: https://doi.org/10.1007/s10958-021-05341-2
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: 35A02, 35M10, 35S05
Language: Russian
Citation: T. K. Yuldashev, “Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney–Luke integro-differential equation with degenerate kernel”, Mathematical Analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 156, VINITI, Moscow, 2018, 89–102; J. Math. Sci. (N. Y.), 254:6 (2021), 793–807
Citation in format AMSBIB
\Bibitem{Yul18}
\by T.~K.~Yuldashev
\paper Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney--Luke integro-differential equation with degenerate kernel
\inbook Mathematical Analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 156
\pages 89--102
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into400}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3939199}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 254
\issue 6
\pages 793--807
\crossref{https://doi.org/10.1007/s10958-021-05341-2}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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