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Eleev, Valeriĭ Abdurakhmanovich; Balkizova, Alëna Khamudbievna

On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary. (Russian. English summary) Zbl 1449.35316

Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 3(24), 8-25 (2011).
Summary: The unique solvability of the problems of conjugation of hyperbolic and parabolic equations in finite domains is proved by the method of equivalent reduction to the Volterra integral equation of the second kind.

Cited in 2 Documents

MSC:

35M10 PDEs of mixed type
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
45D05 Volterra integral equations

Keywords:

unique solvability; Volterra integral equation; conjugation problems; Bessel functions
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