A two-parameter eigenvalue problem for a class of block-operator matrices

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Abstract

We consider a symmetric block operator spectral problem with two spectral parameters. Under some reasonable restrictions, we state localisation theorems for the pair-eigenvalues and discuss relations to a class of non-self-adjoint spectral problems.

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Levitin, M., & Öztürk, H. M. (2018). A two-parameter eigenvalue problem for a class of block-operator matrices. In Operator Theory: Advances and Applications (Vol. 268, pp. 367–380). Springer International Publishing. https://doi.org/10.1007/978-3-319-75996-8_19

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