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Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions

Bonet Solves, José Antonio; Domanski, Pawel (Springer Verlag (Germany), 2015-04)

We obtain full description of eigenvalues and eigenvectors of composition operators Cϕ : A (R) → A (R) for a real analytic self map ϕ : R → R as well as an isomorphic description of corresponding eigenspaces. We completely ...
Closed-form eigensolutions of nonviscously, nonproportionally damped systems based on continuous damping sensitivity

Lázaro, Mario (Elsevier, 2018)

[EN] In this paper, nonviscous, nonproportional, vibrating structures are considered. Nonviscously damped systems are characterized by dissipative mechanisms which depend on the history of the response velocities via ...
Eigensolutions of nonviscously damped systems based on the fixed-point iteration

Lázaro, Mario (Elsevier, 2018)

[EN] In this paper, nonviscous, nonproportional, symmetric vibrating structures are considered. Nonviscously damped systems present dissipative forces depending on the time history of the response via kernel hereditary ...

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