On a Certain Functional Equation and Its Application to the Schwarz Problem
نویسندگان
چکیده
The Schwarz problem for J-analytic functions in an ellipse is considered. In this case, the matrix J assumed to be two-dimensional with different eigenvalues located above real axis. reduced equivalent boundary value scalar functional equation depending on parameter l. This determined by Jordan basis of J. An analysis was performed. It shown that l∈[0,1], solution exists uniquely Hölder classes arbitrary ellipse.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11122789