Email this article Second Boundary-Value Problem for the Lavrent’ev–Bitsadze Equation in a Rectangular Domain with Two Degeneration Lines
- Authors: Gimaltdinova A.A.1
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Affiliations:
- Ufa State Petroleum Technological University
- Issue: Vol 236, No 6 (2019)
- Pages: 579-593
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242271
- DOI: https://doi.org/10.1007/s10958-018-4134-0
- ID: 242271
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Abstract
For a mixed-type equation, we examine the second boundary-value problem and by using the spectral method prove the uniqueness and existence of solutions. The uniqueness criterion is proved based on the completeness property of the biorthogonal system of functions corresponding to the onedimensional spectral problem. A solution of the problem is constructed as the sum of a biorthogonal series.
About the authors
A. A. Gimaltdinova
Ufa State Petroleum Technological University
Author for correspondence.
Email: alfiragimaltdinova@mail.ru
Russian Federation, Ufa
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