Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis |
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Authors: | Samoilenko A M Boichuk A A Boichuk An A |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev |
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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 = 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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Keywords: | |
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