On pointwise degenerate linear delay-differential systems with nonnilpotent matrices


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Complete description is given of the linear pointwise degenerate fourth-order delay-differential systems (with constant coefficients) whose active matrix is semisimple and the passive matrix is nonnilpotent. These systems are described with the help of the language of geometrical invariants of certain elements of the semigroup generated by the matrices of the system.

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A. Korobov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: korobov@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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