Problem with an analog of the Bitsadze-Samaraskii condition for one class of degenerate hyperbolic equations. (English. Russian original) Zbl 1507.35120
Russ. Math. 66, No. 6, 43-47 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 54-59 (2022).
Summary: For a degenerate hyperbolic equation with a singular coefficient in the characteristic triangle, the well-posedness of a problem with an analog of the Bitsadze-Samarskii condition on the boundary and parallel internal characteristics is proven.
Keywords:
Bitsadze-Samarskii condition; internal characteristics; functional equation with two shifts; counterexample; combined method; successive approximation; iteration; uniform convergenceReferences:
| [1] | Bitsadze, A. V.; Samarskii, A. A., Some elementary generalizations of linear elliptic boundary value problems, Sov. Math. Dokl., 10, 398-400 (1969) · Zbl 0187.35501 |
| [2] | Salakhitdinov, M. S.; Mirsaburov, M., Nonlocal Problems for Mixed-Type Equations with Singular Coefficients (2005), Tashkent: Universitet, Tashkent |
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