Integral manifolds of impulsive differential equations

D. D. Bainov, S. I. Kostadinov, N. Van Minh, N. Hong Thai and P. P. Zabreiko

International Journal of Stochastic Analysis, 1992, vol. 5, 1-11

Abstract:

The present paper is concerned with the existence of integral manifolds of impulsive differential equations as t → + ∞ . Under the assumption of exponential trichotomy on the linear part of the right-hand side of the equation, it is proved that if the nonlinear perturbation is small enough, then there exist integral manifolds as t → + ∞ for the perturbed equations.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:264346

DOI: 10.1155/S1048953392000078

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