ABSTRACT
The behavior of the solutions of system (2.1) as t → ±∞ is entirely determined by the positioning of eigenvalues of the matrix A. If all eigenvalues of the matrix A have non-zero real parts, then system (2.1) has no solutions bounded for all t ∈ R, except zero solutions. If all eigenvalues of the matrix A have negative real parts, then there exist constants M > 0, γ > 0 such that the following inequality holds
|etA| ≤ Me−γt, t ≥ 0.
