A Katznelson–Tzafriri type theorem for almost periodic linear evolution equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this paper, we present an extension of a theorem due to Katznelson and Tzafriri to non-autonomous linear differential equations with almost periodic coefficients of the form x (t) = A(t)x(t). To this end, we consider the evolution semigroup associated with the equation in a small invariant function space consisting of almost periodic functions with frequencies contained in the semi-module generated by the spectrum of A(t). The obtained (Perron type) conditions are stated in terms of the solvability of inhomogeneous equations associated with the equation under investigation.
Details
Original language | English |
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Pages (from-to) | 403-415 |
Number of pages | 13 |
Journal | Vietnam Journal of Mathematics |
Volume | 43 |
Issue number | 2 |
Publication status | Published - 22 Apr 2015 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0003-0967-6747/work/149795389 |
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Keywords
ASJC Scopus subject areas
Keywords
- Almost periodicity, Asymptotic behavior, Evolution semigroup, Katznelson–Tzafriri type theorem, Non-autonomous equation