Ukrainian Mathematical Journal

, Volume 48, Issue 3, pp 471–474 | Cite as

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

  • V. V. Lipchan
Brief Communications


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.


Banach Space Green Function Nonlinear Oscillation Invariant Manifold Continuous Dependence 
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© Plenum Publishing Corporation 1997

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  • V. V. Lipchan

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