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학술저널

ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS

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We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear di??erential systems are equivalent via t1-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.

1. Introduction and basic notions

2. Asymptotic equilibria for nonlinear systems

3. Asymptotic equivalence in variation

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