Geodesic
Problem with an analogue of the Bitsadze–Samaraskii condition for one class of degenerate hyperbolic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2022), pp. 54-59 Cet article a éte moissonné depuis la source Math-Net.Ru

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In a characteristic triangle, for a degenerate hyperbolic equation with a singular coefficient, the correctness of the problem with an analogue of the Bitsadze–Samarskii condition on the boundary and parallel internal characteristics is proved.
Keywords: Bitsadze–Samarskii condition, internal characteristics, functional equation with two shifts, counterexample, combined method, successive approximation, iteration
Mots-clés : uniform convergence. 
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     title = {Problem with an analogue of the {Bitsadze{\textendash}Samaraskii} condition for one class of degenerate hyperbolic equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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G. M. Mirsaburova. Problem with an analogue of the Bitsadze–Samaraskii condition for one class of degenerate hyperbolic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2022), pp. 54-59. http://geodesic.mathdoc.fr/item/IVM_2022_6_a4/

[1] Bitsadze A.V., Samarskii A.A., “O nekotorykh prosteishikh obobscheniyakh lineinykh ellipticheskikh kraevykh zadach”, DAN SSSR, 185:4 (1969), 739–740 | Zbl

[2] Salakhitdinov M.S., Mirsaburov M., Nelokalnye zadachi dlya uravnenii smeshannogo tipa s singulyarnymi koeffitsientami, Tashkent, 2005