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MR2607879 (2011d:34103) 34D20 (37C75)
Sugie, Jitsuro; Onitsuka, Masakazu Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients. Proc. Amer. Math. Soc. 138 (2010), no. 7, 2493–2503.
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