Geodesic
On an integro-differential equation of pseudoparabolic-pseudohyperbolic type with degenerate kernels
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 1, pp. 19-26

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In this article the questions of solvability of boundary value problem for a homogeneous pseudoparabolic-pseudohyperbolic type integro-differential equation with degenerate kernels are considered. Is used the Fourier method based on separation of variables. The criterion of one-value solvability of the considering problem is installed. Under this criterion is proved the one-valued solvability of the problem.
Keywords: integro-differential equation, mixed type equation, degenerate kernels, integral condition, one valued solvability. 
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     title = {On an integro-differential equation  of  pseudoparabolic-pseudohyperbolic type with  degenerate  kernels},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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T. K. Yuldashev. On an integro-differential equation  of  pseudoparabolic-pseudohyperbolic type with  degenerate  kernels. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 1, pp. 19-26. http://geodesic.mathdoc.fr/item/UZERU_2018_52_1_a3/