Abstract
In this chapter we are concerned with the following general problem: If we are given a linear system
and “know” a fundamental solution matrix X(t) for the (unperturbed) system x′ = A(t)x, how “small” should the perturbation R(t) be so that we can determine an asymptotic behavior for solutions of (2.1)? This question is intentionally vague because depending upon the particular circumstances, there are many possible answers.
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Bodine, S., Lutz, D.A. (2015). Asymptotic Integration for Differential Systems. In: Asymptotic Integration of Differential and Difference Equations. Lecture Notes in Mathematics, vol 2129. Springer, Cham. https://doi.org/10.1007/978-3-319-18248-3_2
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