Geodesic
On a nonlocal problem for the nonhomogeneous Boussinesq type integro-differential equation with degenerate kernel
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 159 (2017) no. 1, pp. 88-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper considers the questions of solvability and constructing the solution of a nonlocal boundary value problem for the fourth-order Boussinesq type nonhomogeneous partial integro-differential equation with degenerate kernel. The Fourier method based on separation of variables has been used. The system of algebraic equations has been obtained. The criterion of unique solvability of the considered problem has been revealed. The theorem of solvability of the problem has been proved under this criterion.
Keywords: integro-differential equation, boundary value problem, degenerate kernel, integral conditions, solvability. 
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     title = {On a~nonlocal problem for the nonhomogeneous {Boussinesq} type integro-differential equation with degenerate kernel},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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T. K. Yuldashev. On a nonlocal problem for the nonhomogeneous Boussinesq type integro-differential equation with degenerate kernel. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 159 (2017) no. 1, pp. 88-99. http://geodesic.mathdoc.fr/item/UZKU_2017_159_1_a7/

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