G. A. Sviridyuk, S. A. Zagrebina, “The Showalter–Sidorov problem as a phenomena of the Sobolev-type equations”, Bulletin of Irkutsk State University. Series Mathematics, 2010, Volume 3, Issue 1,Pages <nobr>104

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The Showalter–Sidorov problem as a phenomena of the Sobolev-type equations

G. A. Sviridyuk, S. A. Zagrebina

South Ural State University, 76, Lenin prospekt, Chelyabinsk, 454080

Abstract: This article has a survey character. It contains: 1. The Sowalter approach, 2. The Sidorov approach, 3. Applications of the Showalter–Sidorov problem, 4. A generalization of the Showalter–Sidorov problem.

Keywords: the Cauchy problem, the Showalter–Sidorov problem, initial-finish value problem, the Sobolev-type equations.

UDC: 518.517