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Problem with an Analog of the Frankl Condition on the Boundary Characteristic and General Transmission Conditions on the Degeneration Segment for a Class of Mixed Type Equations

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Abstract

We prove existence and uniqueness theorems for a boundary value problem for the equation (sgn y)|y|muxx + uyy — (m/2y)uy = 0 in a mixed domain with an analog of the Frankl condition on the boundary characteristic and general transmission conditions on the degeneration segment.

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Authors and Affiliations

  1. Termez Branch, Nizami Tashkent State Pedagogical University, Termez, Surxondaryo Region, Uzbekistan

    Gulnora M. Mirsaburova

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  1. Gulnora M. Mirsaburova
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Correspondence to Gulnora M. Mirsaburova.

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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 12, pp. 1652–1664.

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Mirsaburova, G.M. Problem with an Analog of the Frankl Condition on the Boundary Characteristic and General Transmission Conditions on the Degeneration Segment for a Class of Mixed Type Equations. Diff Equat 55, 1598–1610 (2019). https://doi.org/10.1134/S0012266119120073

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  • DOI: https://doi.org/10.1134/S0012266119120073

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