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On a problem with a shift and with the Frankl condition on a segment of the degeneration line for a class of equations of mixed type

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Abstract

We consider the Frankl-Nakhushev problem. By using the maximum principle, we prove the uniqueness of the solution of the problem in the class of Hölder functions, and by using the method of integral equations, in particular, the recently developed method of Wiener-Hopf equations, we prove its existence.

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Authors and Affiliations

  1. Termez State University, Termez, Uzbekistan

    M. Mirsaburov & Gulnora M. Mirsaburova

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  1. M. Mirsaburov
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  2. Gulnora M. Mirsaburova
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Original Russian Text © M. Mirsaburov, Gulnora M. Mirsaburova, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 3, pp. 359–367.

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Mirsaburov, M., Mirsaburova, G.M. On a problem with a shift and with the Frankl condition on a segment of the degeneration line for a class of equations of mixed type. Diff Equat 48, 362–371 (2012). https://doi.org/10.1134/S001226611203007X

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  • DOI: https://doi.org/10.1134/S001226611203007X

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