On the correctness of the Cauchy problem for a linear differential system on an infinite interval.
Kiguradze, I. (1996)
Georgian Mathematical Journal
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Kiguradze, I. (1996)
Georgian Mathematical Journal
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Evtukhov, V.M., Drik, N.G. (1996)
Georgian Mathematical Journal
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Zadorin, A.I. (2001)
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Sibirskij Matematicheskij Zhurnal
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Sherstyukov, V.B. (2000)
Siberian Mathematical Journal
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Chernikov, N.S., Dovzhenko, S.A. (2006)
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Anikonov, D. S., Konovalova, D. S. (2002)
Sibirskij Matematicheskij Zhurnal
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Matvijchuk, K.S. (2000)
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Kondakov, V. P. (2003)
Sibirskij Matematicheskij Zhurnal
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Garif'yanov, F.N. (2001)
Sibirskij Matematicheskij Zhurnal
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Electronic Journal of Probability [electronic only]
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Guang-Da Hu, Taketomo Mitsui (2012)
Kybernetika
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We are concerned with bounds of the matrix eigenvalues and its exponential. Combining the Lyapunov equation with the weighted logarithmic matrix norm technique, four sequences are presented to locate eigenvalues of a matrix. Based on the relations between the real parts of the eigenvalues and the weighted logarithmic matrix norms, we derive both lower and upper bounds of the matrix exponential, which complement and improve the existing results in the literature. Some numerical examples...