On the higher exponent of linear systems with perturbations power integrable or small in mean with a monotone weight (Q2461899)
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| Language | Label | Description | Also known as |
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| English | On the higher exponent of linear systems with perturbations power integrable or small in mean with a monotone weight |
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On the higher exponent of linear systems with perturbations power integrable or small in mean with a monotone weight (English)
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21 November 2007
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Consider a linear system of differential eqautions, \[ x'=A(t)x,\quad x\in{\mathbb R}^n, \] and its perturbation, \[ y'=A(t)y+Q(t)y. \] The author studies higher Lyapunov exponents of perturbed systems for which \[ \lim\sup_{t\to\infty}t^{-1}\int_0^t\phi(\tau) \| Q(\tau)\| ^pd\tau=0, \] where \(\phi\) is an unboudedly growing function.
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