Abstract
A sharp estimate of the growth of solutions of the initial value problem for systems of the formwhere Cj(t) are matrices with elements of power growth, is found. As a corollary of this result, it follows, for instance, that each solution of the initial value problem satisfies the estimate ‖u(t)‖ ≤ Cexp{γln2(1+|t|)} for some C > 0 and γ > 0.
Publisher
Cambridge University Press (CUP)
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