Abstract
We find eigenvalues and the corresponding eigenfunctions of the Gellerstedt problem for mixed-type equations with the Lavrent'ev–Bitsadze operator. We study the spectral properties of the system of eigenfunctions and present their applications to construction of a solution to the Gellerstedt problem in the form of the sum of a series.
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Sabitov, K.B., Kuchkarova, A.N. Spectral Properties of a Solution to the Gellerstedt Problem for Mixed-Type Equations and Their Applications. Siberian Mathematical Journal 42, 961–974 (2001). https://doi.org/10.1023/A:1011975913203
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DOI: https://doi.org/10.1023/A:1011975913203