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Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis

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Abstract

We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semiaxes R + and R −.

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  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Samoilenko, A. A. Boichuk & An. A. Boichuk

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  1. A. M. Samoilenko
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  2. A. A. Boichuk
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  3. An. A. Boichuk
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Samoilenko, A.M., Boichuk, A.A. & Boichuk, A.A. Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis. Ukrainian Mathematical Journal 54, 1842–1858 (2002). https://doi.org/10.1023/A:1024096409088

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