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A problem with nonlocal conditions for mixed-type equations

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Abstract

We study a problem with the Bitsadze-Samarskii conditions on the ellipticity boundary and on a segment of degeneration line and with the displacement condition on parts of boundary characteristics of the Gellerstedt equation with singular coefficient. With the help of the maximum principle we prove the uniqueness of a solution to the problem, and with the help of the method of integral equations we prove the existence of a solution to the problem.

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Authors and Affiliations

  1. Termez State University, ul. F. Khodzhaeva 43, Termez, 190111, Republic of Uzbekistan

    G. M. Mirsaburova

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  1. G. M. Mirsaburova
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Correspondence to G. M. Mirsaburova.

Additional information

Original Russian Text © G.M. Mirsaburova, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 10, pp. 35–42.

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Mirsaburova, G.M. A problem with nonlocal conditions for mixed-type equations. Russ Math. 58, 29–35 (2014). https://doi.org/10.3103/S1066369X14100053

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  • DOI: https://doi.org/10.3103/S1066369X14100053

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