Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.
@article{bwmeta1.element.bwnjournal-article-div16i1n4bwm,
author = {Jan Andres and Tom\'a Tursk\'y},
title = {Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {16},
year = {1996},
pages = {75-89},
zbl = {0879.34011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div16i1n4bwm}
}
Jan Andres; Tomá Turský. Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 16 (1996) pp. 75-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div16i1n4bwm/
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