On a Boundary Value Problem for the Gellerstedt Equation with a Singular Coefficient

A problem with the Bitsadze–Samarskii and Frankl conditions for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle is studied. The correctness of the formulated problem is proved.

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Publication Details

Journal
Russian Mathematics
Published
2024-12-01
DOI
https://doi.org/10.3103/s1066369x24700981
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

On a Boundary Value Problem for the Gellerstedt Equation with a Singular Coefficient

M. Kh. Ruziev, N. T. Yuldasheva
Russian Mathematics
Differential Equations and Boundary Problems
article

On a Boundary Value Problem for the Gellerstedt Equation with a Singular Coefficient

M. Kh. Ruziev, N. T. Yuldasheva
article en

Abstract

A problem with the Bitsadze–Samarskii and Frankl conditions for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle is studied. The correctness of the formulated problem is proved.

Russian MathematicsVol. 68(12)
Academy of Sciences Republic of Uzbekistan (UZ)
Openalex Percentile: Top 56%
Differential Equations and Boundary Problems
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On a Boundary Value Problem for the Gellerstedt Equation with a Singular Coefficient — M. Kh. Ruziev, N. T. Yuldasheva · Russian Mathematics (2024) | TGRS Research Map | TGRS