Siberian Mathematical Journal

, Volume 42, Issue 5, pp 961–974 | Cite as

Spectral Properties of a Solution to the Gellerstedt Problem for Mixed-Type Equations and Their Applications

  • K. B. Sabitov
  • A. N. Kuchkarova


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.


Spectral Property Gellerstedt Problem 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • K. B. Sabitov
    • 1
  • A. N. Kuchkarova
    • 1
  1. 1.Sterlitamak

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