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Problem with Nonlocal Conditions, Specified on Parts of the Boundary Characteristics and on the Degeneracy Segment, for the Gellerstedt Equation with Singular Coefficient

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Abstract

For the Gellerstedt equation with a singular coefficient, we investigate a boundary value problem with nonlocal conditions, given on parts of the boundary characteristics, and a Frankl type condition, specified on the degeneracy segment. We prove the uniqueness and existence theorems.

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Authors and Affiliations

  1. Termez State University, 43 Barkamol Avlod str., Termez, 190111, Republic of 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), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 1, pp. 64–83.

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Mirsaburova, G.M. Problem with Nonlocal Conditions, Specified on Parts of the Boundary Characteristics and on the Degeneracy Segment, for the Gellerstedt Equation with Singular Coefficient. Russ Math. 64, 58–77 (2020). https://doi.org/10.3103/S1066369X20010065

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  • DOI: https://doi.org/10.3103/S1066369X20010065

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