Geodesic
On the solvability of a nonlocal problem for a Boussinesq-type differential equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 60-69

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We study a nonlocal problem for a differential Boussinesq-type equations in a multidimensional domain. Conditions for the existence and uniqueness of the solution are established, and a spectral decomposition of the solution is obtained.
Keywords: nonlocal problem
Mots-clés : spectral decomposition, Boussinesq type equations. 
@article{IVM_2023_10_a4,
     author = {A. R. Khalmukhamedov and E. I. Kuchkorov},
     title = {On the solvability of a nonlocal problem for a {Boussinesq-type} differential equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--69},
     publisher = {mathdoc},
     number = {10},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_10_a4/}
}
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A. R. Khalmukhamedov; E. I. Kuchkorov. On the solvability of a nonlocal problem for a Boussinesq-type differential equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2023), pp. 60-69. http://geodesic.mathdoc.fr/item/IVM_2023_10_a4/