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Solutions of Weakly Nonlinear Systems of Ordinary Differential Equations Bounded on R

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Nonlinear Oscillations

Abstract

We obtain conditions for the existence of solutions bounded on the entire axis R for weakly nonlinear systems of ordinary differential equations 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. O. Boichuk

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  1. A. O. Boichuk
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Boichuk, A.O. Solutions of Weakly Nonlinear Systems of Ordinary Differential Equations Bounded on R . Nonlinear Oscillations 6, 427–435 (2003). https://doi.org/10.1023/B:NONO.0000028582.25954.7d

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  • DOI: https://doi.org/10.1023/B:NONO.0000028582.25954.7d

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