Far Eastern Mathematical Journal

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The estimation for the indexes of linear differential systems with perturbation

G. G. Durnov

2000, issue 1, P. 43–50

Abstract

The estimation for indexes of linear differential systems with perturbation are presented. The results are based on the theorem frequency of Jakubovich-Calman. The considered perturbation belongs to the special class of operators.

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References

[1] G. G. Durnov, “Ocenki general'nyx pokazatelej reshenij linejnyx vektornyx differencial'nyx uravnenij vysshix poryadkov”, Dal'nevostochnyj matematicheskij sbornik, 1996, № 2, 62–71. [2] G. G. Durnov, “Ocenki general'nyx pokazatelej linejnyx differencial'nyx uravnenij v gil'bertovom prostranstve”, Dal'nevostochnyj matematicheskij sbornik, 1998, № 5, 8–13. [3] B. F. Bylov, R. E'. Vinograd, D. M. Grobman, V. V. Nemyckij, Teoriya pokazatelej Lyapunova i ee prilozheniya k voprosam ustojchivosti, Nauka, M., 1966, 576 s. [4] A. X. Gelig, G. A. Leonov, V. A. Yakubovich, Ustojchivost' nelinejnyx sistem s needinstvennym sostoyaniem ravnovesiya, Nauka, M., 1978, 400 s. [5] F. R. Gantmaxer, Teoriya matric, Nauka, M., 1967, 576 s.

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