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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 137, Pages 3–16
(Mi into202)
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Second boundary-value problem for the Lavrent'ev–Bitsadze equation in a rectangular domain with two degeneration lines
A. A. Gimaltdinova Ufa State Petroleum Technological University
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 one-dimensional spectral problem. A solution of the problem is constructed as the sum of a biorthogonal series.
Keywords:
equation of mixed type, biorthogonal system of functions, completeness, existence and uniqueness of solution.
Citation:
A. A. Gimaltdinova, “Second boundary-value problem for the Lavrent'ev–Bitsadze equation in a rectangular domain with two degeneration lines”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 137, VINITI, Moscow, 2017, 3–16; J. Math. Sci. (N. Y.), 236:6 (2019), 579–593
Linking options:
https://www.mathnet.ru/eng/into202 https://www.mathnet.ru/eng/into/v137/p3
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Statistics & downloads: |
Abstract page: | 216 | Full-text PDF : | 71 | First page: | 16 |
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