Geodesic
The Neumann problem for a~mixed-type equation in a~rectangular domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 12-19.

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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
Mots-clés : existence. 
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     author = {A. A. Bakhristova},
     title = {The {Neumann} problem for a~mixed-type equation in a~rectangular domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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}
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A. A. Bakhristova. The Neumann problem for a~mixed-type equation in a~rectangular domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 12-19. http://geodesic.mathdoc.fr/item/IVM_2009_11_a1/

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[2] Sabitov K. B., “O zadache Dirikhle dlya uravneniya struny”, Tr. Sterlitamaksk. filiala AN RB (Ufa), 2006, no. 3, 170–178

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