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An improved estimate for the maximal growth order of solutions of linear differential systems

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Abstract

Given a linear differential system which is not reducible as defined by Moser [6], we provide an improved estimate for the maximum growth order ρ of its solutions. Our proof relies on the results in [2] and a generalisation of the Splitting Lemma [7]. This result can be useful when designing algorithms for computing ρ and related formal invariants.

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  1. School of Mathematics, Kingston University, Penrhyn Road, Kingston upon Thames, Surrey, KT1 2EE, United Kingdom

    Eckhard Pflügel

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  1. Eckhard Pflügel
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Correspondence to Eckhard Pflügel.

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Pflügel, E. An improved estimate for the maximal growth order of solutions of linear differential systems. Arch. Math. 83, 256–263 (2004). https://doi.org/10.1007/s00013-004-1058-3

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  • DOI: https://doi.org/10.1007/s00013-004-1058-3

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