This article is cited in 1 paper

The Neumann problem for a mixed-type equation in a rectangular domain

A. A. Bakhristova

Laboratory of Differential Equations, Sterlitamak Branch of Academy of Sciences of the Republic of Bashkortostan, Sterlitamak, Russia

Abstract: We establish a uniqueness criterion for the Neumann problem for a mixed-type equation with the Lavrent'ev–Bitsadze operator in a rectangular domain. We construct a solution as the sum of a series of eigenfunctions of the corresponding Sturm–Liouville problem.

Keywords: mixed-type equation, Neumann problem, spectral method, uniqueness, existence.

UDC: 517.95

Received: 13.07.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:11, 9–15

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