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The tricomi problem for a nonlinear mixed-type equation with functional retarded, advanced, and concentrated deviation

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Abstract

We study the boundary-value problem for a nonlinear mixed-type equation with the Lavrent’ev–Bitsadze operator in the main part and a functional delay or advance in the lowest terms. We construct a general solution to the equation under consideration and prove the unique solvability of the problem.

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Authors and Affiliations

  1. Orel State University, ul. Komsomol’skaya 95, Orel, 302026, Russia

    A. N. Zarubin

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  1. A. N. Zarubin
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Correspondence to A. N. Zarubin.

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Original Russian Text © A.N. Zarubin, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 11, pp. 20–29.

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Zarubin, A. The tricomi problem for a nonlinear mixed-type equation with functional retarded, advanced, and concentrated deviation. Russ Math. 61, 16–25 (2017). https://doi.org/10.3103/S1066369X17110032

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  • DOI: https://doi.org/10.3103/S1066369X17110032

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