Asymptotic behavior of solutions of perturbed linear systems

Bobisud, L. E.

doi:10.1090/S0002-9939-1972-0301313-7

Asymptotic behavior of solutions of perturbed linear systems

Author: L. E. Bobisud
Journal: Proc. Amer. Math. Soc. 35 (1972), 457-463
MSC: Primary 34D05
DOI: https://doi.org/10.1090/S0002-9939-1972-0301313-7
MathSciNet review: 0301313
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Abstract: The existence of solutions of the system having the form is proved, where satisfies and the vector has limit $\alpha$ as t increases. Estimates for the rate of convergence to zero of $a(t) - \alpha$ and of $y(t) - Z(t)\alpha$ are obtained.

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