Abstract
The article is concerned the inverse problem for a mixed-type equation with power degeneracy on a transition line by definition of its right-hand side, depending on the spatial coordinate. A criterion for the uniqueness of the solution of the problem is established, providing that the solution itself is constructed in the form of a sum of orthogonal series. A justification is given for the convergence of series in the class of regular solutions of the given equation and the stability of the solution with respect to boundary functions has been proved.
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(Submitted by T. K. Yuldashev)
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Sabitov, K., Burkhanova-Haji, I. Reverse Problem to Find Right Parts Mixed Equations with the Chaplygin Operator. Lobachevskii J Math 42, 3726–3740 (2021). https://doi.org/10.1134/S1995080222030180
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DOI: https://doi.org/10.1134/S1995080222030180