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Krylov-Bogolyubov substitution in the perturbation theory of linear operators

Ukrainian Mathematical Journal, 1985
This paper intends to clarify the role of the Krylov-Bogolyubov transformation [\textit{Yu. A. Mitropol'skij}, The Method of Averaging in Nonlinear Mechanics (in Russian) (1971; Zbl 0325.70002)] in the study of the spectral properties of perturbed operators \(A-\epsilon B ...
A G Baskakov, Baskakov A G
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Stationary Markovian Decision Problems and Perturbation Theory of Quasi-Compact Linear Operators

Mathematics of Operations Research, 1977
In this paper stationary Markov decision problems are considered with arbitrary state space and compact space of strategies. Conditions are given for the existence of an average optimal strategy. This is done by using the fact that a continuous function on a compact space attains its minimum. To prove the continuity of the average costs as function on
Jacob Wijngaard
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Perturbation theory of lower semi-Browder multivalued linear operators

Publicationes Mathematicae Debrecen, 2011
In the present paper we introduce the notion of lower semi-Browder linear relation and we study the perturbation problem under compact operator perturbations.
FATMA FAKHFAKH, MAHER MNIF
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