On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 8-25

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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.
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     title = {On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary},
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V. A. Eleev; A. Kh. Balkizova. On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 8-25. http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a0/