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Reducibility and Generalized Reducibility of Linear Differential Systems with a Real Multiplier Parameter

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Abstract We construct a pair of mutually reducible linear differential systems with bounded continuous coefficients on the time half-line with the following property: there exists a countable set of real… Click to show full abstract

Abstract We construct a pair of mutually reducible linear differential systems with bounded continuous coefficients on the time half-line with the following property: there exists a countable set of real numbers such that, for each number in this set, the systems obtained by multiplying the coefficient matrices of the original systems by that number cannot be reduced to each other but are reducible to each other in the generalized sense.

Keywords: reducibility generalized; reducibility; differential systems; linear differential; reducibility linear; generalized reducibility

Journal Title: Differential Equations
Year Published: 2020

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