Geodesic
Boundary-Value Problem with Nonlocal Integral Condition for Mixed-Type Equations with Degeneracy on the Transition Line
Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 393-406.

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For an elliptic-hyperbolic type equation, the boundary-value problem with nonlocal Samarskii–Ionkin condition in a rectangular domain is solved. Using the spectral analysis method, a uniqueness criterion is established and the existence theorem for the solution of the problem is proved. The solution of the problem is constructed as the sum of a biorthogonal series.
Keywords: elliptic-hyperbolic type equation, boundary-value problem, Samarskii–Ionkin condition, spectral analysis, Bessel's equation, Weierstrass criterion. 
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Yu. K. Sabitova. Boundary-Value Problem with Nonlocal Integral Condition for Mixed-Type Equations with Degeneracy on the Transition Line. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 393-406. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a7/

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