Integral manifolds of impulsive differential equations
D. D. Bainov,1S. I. Kostadinov,1N. Van Minh,2N. Hong Thai,2and P. P. Zabreiko2
Received01 Feb 1991
Revised01 Mar 1991
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.