Geodesic
Problems involving equations of hyperbolic type in the plane or three-dimensional space with conjugation conditions on a~characteristic
Izvestiya. Mathematics , Tome 75 (2011) no. 4, pp. 681-689.

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For an equation of hyperbolic type in the plane or one of its third-order analogues in three-dimensional space, we solve boundary-value problems in special classes introduced by the authors on domains containing two lines (planes) of singularity of the coefficients of these equations under conjugation conditions on a characteristic line (plane).
Keywords: integral equation, boundary-value problem, equation of hyperbolic type. 
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M. V. Dolgopolov; I. N. Rodionova. Problems involving equations of hyperbolic type in the plane or three-dimensional space with conjugation conditions on a~characteristic. Izvestiya. Mathematics , Tome 75 (2011) no. 4, pp. 681-689. http://geodesic.mathdoc.fr/item/IM2_2011_75_4_a1/

[1] V. M. Dolgopolov, M. V. Dolgopolov, I. N. Rodionova, “Construction of special classes of solutions for some differential equations of hyperbolic type”, Dokl. Math., 80:3 (2009), 860–866 | DOI | MR | Zbl

[2] V. M. Dolgopolov, I. N. Rodionova, “Vidoizmenennaya zadacha Koshi dlya odnogo giperbolicheskogo uravneniya tretego poryadka v trekhmernom prostranstve”, Vestn. Sam. gos. tekhn. un-ta. Ser. fiz.-matem. nauk, 1:18 (2009), 41–46

[3] V. M. Dolgopolov, M. V. Dolgopolov, I. N. Rodionova, “Dve zadachi dlya giperbolicheskogo uravneniya v trexmernom prostranstve”, Vestn. Sam. gos. tekhn. un-ta. Ser. estestv., 67:8 (2008), 95–107