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A Problem with the Bitsadze–Samarskii Condition on the Characteristics of One Family and with General Transmission Conditions on the Degeneration Line for the Gellerstedt Equation with a Singular Coefficient

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Abstract

For the Gellerstedt equation with a singular coefficient, we prove theorems on the uniqueness and existence of a solution of the problem with local and nonlocal conditions on parts of the boundary characteristic and with discontinuous transmission conditions on the degeneration line.

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Correspondence to M. Mirsaburov or N. Khurramov.

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Translated by V. Potapchouck

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Mirsaburov, M., Khurramov, N. A Problem with the Bitsadze–Samarskii Condition on the Characteristics of One Family and with General Transmission Conditions on the Degeneration Line for the Gellerstedt Equation with a Singular Coefficient. Diff Equat 56, 1050–1071 (2020). https://doi.org/10.1134/S001226612008008X

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  • DOI: https://doi.org/10.1134/S001226612008008X

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