Geodesic
Nonlocal problem for a mixed type fourth order differential equation in three dimensional domain
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 70-79.

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This article considers solvability of nonlocal mixed-value problem for a three-dimensional homogeneous mixed-type fourth-order differential equation. Solution construction for such equation is examined, too. Spectral method based on separation of variables is used in the article. The criterion of one-value solvability of the problem considered is installed. Under this criterion one-valued solvability of the problem is proved.
Keywords: mixed-type differential equation, fourth-order equation, three-dimensional domain, integral conditions, one-valued solvability. 
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T. K. Yuldashev; A. V. Bagrova. Nonlocal problem for a mixed type fourth order  differential equation in three dimensional domain. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 18 (2016) no. 3, pp. 70-79. http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a6/

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