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Linear independence, equivalence and minimality of root vectors for certain nonlinear spectral problems

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Publication:757802
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DOI10.1007/BF00970355zbMath0724.47011MaRDI QIDQ757802

G. V. Radzievskij

Publication date: 1990

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

equivalenceAllakhverdiev's derivativeKeldish derivativeLinear independenceminimality of root vectors of operator-functions


Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)


Related Items (1)

Existence of solutions of semilinear time varying differential equations with impulses, delay, and nonlocal conditions




Cites Work

  • M. V. Keldysh's multiple completeness and the uniqueness of the solution of the corresponding Cauchy problem
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