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On regularization in multiparameter eigenvalue problems

D. G. RakhimovInstitute for Mathematics, Academy of Sciences, Tashkent, Uzbekistan
Differential Equationsjournal2011en
ABI

Abstract

We consider the computation of simple and multiple eigenvalues and the corresponding eigenelements of a multiparameter eigenvalue problem in the sense of Atkinson by the reduction pseudoperturbation method. Namely, we regularize the original operator functions by finite-dimensional linear operators, thus reducing the case of multiple eigenvalues to that of simple ones.

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