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. 
@article{IVM_2009_11_a1,
     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},
     pages = {12--19},
     publisher = {mathdoc},
     number = {11},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a1/}
}
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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/