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Eigenvalues and eigenvectors of a perturbed operator

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Literature cited

  1. L. Collatz, Eigenvalue Problems [Russian translation], Mir, Moscow (1968).

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  2. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin (1966).

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  3. V. P. Maslov, Perturbation Theory and Asymptotic Methods [in Russian], Izd. MGU, Moscow (1965).

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  4. V. S. Mokeichev, Eigenvalues and Eigenelements of Linear Operators [in Russian], Kazan. Univ., Kazan' (1984). Unpublished manuscript, VINITI No. 2998-84, 15 March 1984.

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Translated from Issledovaniya po Prikladnoi Matematike, No. 16, pp. 131–138, 1989.

In conclusion note that these assumptions hold for many boundary-value problems for differential equations with a deviating argument and for partial differential equations.

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Sidorov, A.M. Eigenvalues and eigenvectors of a perturbed operator. J Math Sci 61, 2476–2480 (1992). https://doi.org/10.1007/BF01100586

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  • DOI: https://doi.org/10.1007/BF01100586

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