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On the existence of an invariant manifold for weakly nonlinear matrix differential equations

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Abstract

For a system of nonlinear matrix differential equations with small parameter, we establish conditions of the existence of an invariant manifold in terms of the Green function.

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References

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Authors
  1. V. V. Lipchan
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Lipchan, V.V. On the existence of an invariant manifold for weakly nonlinear matrix differential equations. Ukr Math J 48, 471–474 (1996). https://doi.org/10.1007/BF02378537

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  • DOI: https://doi.org/10.1007/BF02378537

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