Titlebook: Asymptotics of Linear Differential Equations; M. H. Lantsman Book 2001 Springer Science+Business Media B.V. 2001 Operator theory.differenc

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Fourier Series in Control Theoryor asymptotic approximations of the functions which may be written by the relations of type ., ~, and we estimate their growth (when the argument tends to infinity) by means of real numbers. Simple estimates were regarded in subsection 3.2.1.

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https://doi.org/10.1007/978-3-319-65262-7al number, ..(.)are functions of the real argument . (. = 1, 2, ..., n), ..(.) ? 0 for t ? 1. We investigate the asymptotic behavior of the solutions to equation (14.1) for . → +∞. Asymptotic investigation of such equations is a classical problem which goes back to H. . and O. ..

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General Asymptotic Properties of Linear Differential Equations, are functions specified on an interval ]., .[, where ., . are points of the real axis (one or both of the points . and . can be infinitely large, . = 1, 2, ..., .). First, the equation is reduced to an equivalent (in some sense) system written in the form . where . = (.., .., ..., ..)., ., and .(.) = (.. (.)). a square matrix specified on ]., .[.

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