Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

Author:

Möller Manfred,Zinsou Bertin

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference15 articles.

1. Kerimov NB, Aliev ZS: Basis properties of a spectral problem with a spectral parameter in the boundary condition (Russian). Mat. Sb. 2006, 197(10):65-86. translation in Sb. Math. 197, 1467-1487 (2006) 10.4213/sm1433

2. Kerimov NB, Aliev ZS: On the basis property of the system of eigenfunctions of a spectral problem with a spectral parameter in the boundary condition (Russian). Differ. Uravn. 2007, 43: 886-895. translation in Differ. Equ. 43, 905-915 (2007)

3. Marletta M, Shkalikov A, Tretter C: Pencils of differential operators containing the eigenvalue parameter in the boundary conditions. Proc. R. Soc. Edinb., Sect. A, Math. 2003, 133: 893-917. 10.1017/S0308210500002730

4. Shkalikov AA: Boundary problems for ordinary differential equations with parameter in the boundary conditions (Russian). Tr. Semin. Im. I.G. Petrovskogo 1983, 9: 190-229. translation in J. Sov. Math. 33, 1311-1342 (1986)

5. Wang A, Sun J, Zettl A: The classification of self-adjoint boundary conditions: separated, coupled, and mixed. J. Funct. Anal. 2008, 255: 1554-1573. 10.1016/j.jfa.2008.05.003

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