A remark on linear differential systems with the same invariant subbundles
Abstract: Given a flow on a compact metric space and a continuous -matrix , the family of ODE systems defines a linear skew-product flow on , or . Let be a Whitney sum and be the correspondent projector. Result: the subbundles and are invariant for the flows induced by and iff - commutes with for all .
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Keywords: Almost periodic, ordinary differential equations, projector, skew-product flow, subbundle, Whitney sum
Article copyright: © Copyright 1982 American Mathematical Society