Periodic Problems of Difference Equations and Ergodic Theory | Zendy

B. A. Biletskyi | Zendy; А. А. Бойчук | Zendy; А. А. Покутный | Zendy

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Periodic Problems of Difference Equations and Ergodic Theory

Author(s) -

B. A. Biletskyi,

А. А. Бойчук,

А. А. Покутный

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/928587

Subject(s) - mathematics , ergodic theory , banach space , bounded function , bounded operator , operator (biology) , linear operators , finite rank operator , periodic boundary conditions , mathematical analysis , c0 semigroup , spectrum (functional analysis) , unbounded operator , boundary value problem , pure mathematics , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene

The necessary and sufficient conditions for solvability of the family of difference equations with periodic boundary condition were obtained using the notion of relative spectrum of linear bounded operator in the Banach space and the ergodic theorem. It is shown that when the condition of existence is satisfied, then such periodic solutions are built using the formula for the generalized inverse operator to the linear limited one

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