Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis
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−.
KeywordsDifferential Equation Linear System Ordinary Differential Equation Differential System System Bound
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