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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 3, Pages 15–25 (Mi ufa100)  
This article is cited in 9 scientific papers (total in 9 papers)

Boundary value problems for the loaded third order equations of the hyperbolic and mixed types

U. I. Baltayevaa, B. I. Islomovb

a Urgench State University, Urgench, Uzbekistan
b Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (366 kB) Citations (9)
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Abstract: In this paper, the unique solvability is proved for the solution of boundary value problems of a loaded third order differential equation with hyperbolic and parabolic-hyperbolic operators. The boundary value problems for loaded differential equations are reduced to the Volterra integral equation of the second kind. On this basis, existence and uniqueness of the solution of boundary value problems is proved by the method of integral equations.
Keywords: loaded equation, equations of the mixed type, integral equation, integral equation with a shift, Bessel's functions.
Received: 07.07.2011
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: U. I. Baltayeva, B. I. Islomov, “Boundary value problems for the loaded third order equations of the hyperbolic and mixed types”, Ufa Math. J., 3:3 (2011)
Citation in format AMSBIB
\Bibitem{BalIsl11}
\by U.~I.~Baltayeva, B.~I.~Islomov
\paper Boundary value problems for the loaded third order equations of the hyperbolic and mixed types
\jour Ufa Math. J.
\yr 2011
\vol 3
\issue 3
\mathnet{http://mi.mathnet.ru//eng/ufa100}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3428998}
\zmath{https://zbmath.org/?q=an:1249.35232}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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