Abstract:
The one-valued solvability of the conjugation problems of parabolic and hyperbolic equations in finite domains was proved by the method of equivalent reduction to Volterra integral equation of the second kind.
Keywords:
Volterra integral equation, conjugation problems, Bessel functions.
Original article submitted 18/XI/2010 revision submitted – 25/VIII/2011
Citation:
V. A. Eleev, A. Kh. Balkizova, “On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011), 8–25
\Bibitem{EleBal11}
\by V.~A.~Eleev, A.~Kh.~Balkizova
\paper On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 3(24)
\pages 8--25
\mathnet{http://mi.mathnet.ru/vsgtu850}
\crossref{https://doi.org/10.14498/vsgtu850}
Linking options:
https://www.mathnet.ru/eng/vsgtu850
https://www.mathnet.ru/eng/vsgtu/v124/p8
This publication is cited in the following 2 articles:
D. K Durdiev, “OBRATNAYa ZADAChA OPREDELENIYa DVUKh KOEFFITsIENTOV PRI MLADShIKh ChLENAKh PARABOLO-GIPERBOLIChESKOGO URAVNENIYa”, Differencialʹnye uravneniâ, 60:1 (2024), 41
Urinov A.K., Okboev A.B., “Nonlocal Boundary-Value Problem For a Parabolic-Hyperbolic Equation of the Second Kind”, Lobachevskii J. Math., 41:9, SI (2020), 1886–1897
Citation in format AMSBIB
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