Geodesic
Dirichlet problem for loaded equation of Lavrentiev--Bizadze
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 39-47

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Necessary and sufficient conditions of the uniqueness of solution of the first boundary problem for the loaded equtation of Lavrentiev–Bitsadze in the rectangular area are established in this work.The solution of the task in view is constructed in the form of the number sum on the own functions of a corresponding one-dimensional problem on the own values.
Keywords: loaded equation of the mixed type, Dirichlet problem, spectral method, uniqueness
Mots-clés : existence. 
@article{VSGU_2010_6_a4,
     author = {E. P. Melisheva},
     title = {Dirichlet problem for loaded equation of {Lavrentiev--Bizadze}},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {39--47},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a4/}
}
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E. P. Melisheva. Dirichlet problem for loaded equation of Lavrentiev--Bizadze. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 39-47. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a4/