| Abstract: |
| We show that if the Lyapunov exponents associated to a linear equation $x`=A(t)x$ are equal to the given limits, then this asymptotic behavior can be reproduced by the solutions
of the nonlinear equation $x`=A(t)x+f(t,x)$ for any sufficiently small perturbation $f$. We consider the linear equation with a very general nonuniform behavior which has different growth rates. |
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