caa a22 4500 386383049 CHVBK 20180307112049.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500025051 doi S0308210500025051 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500025051 Non-resonance for linear differential systems [Elektronische Daten] The existence of a set of real numbers σ, depending only on ∧0, is established such that if λ ∉ σ, the system Y'=(i∧0 + R)Y can be transformed into a system Z' = (i∧ + S)Z of the Levinson form. Here ∧0 and ∧ are real diagonal matrices, with ∧0 constant, and R(x) = ξ(x)T(λx). The scalar factor ξ(x) is o(l) (x →∞) and T belongs to a certain class of periodic matrices. The consequences for non-resonance, and the necessity of this class, are discussed. Copyright © Royal Society of Edinburgh 1989 Eastham M.S.P. King's College (University of London), Strand, London WC2R 2LS, U.K. McLeod J.B. Mathematical Institute, St Giles, Oxford OX1 3LB, U.K. Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 103-122 0308-2105 111:1-2<103 1989 111 PRM https://doi.org/10.1017/S0308210500025051 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500025051 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Eastham M.S.P. King's College (University of London), Strand, London WC2R 2LS, U.K NATIONALLICENCE 700 1- McLeod J.B. Mathematical Institute, St Giles, Oxford OX1 3LB, U.K NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 103-122 0308-2105 111:1-2<103 1989 111 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge