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. 
@article{SVMO_2016_18_3_a6,
     author = {T. K. Yuldashev and A. V. Bagrova},
     title = {Nonlocal problem for a mixed type fourth order  differential equation in three dimensional domain},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {70--79},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2016_18_3_a6/}
}
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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/