Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 2, Pages 99-109
doi:10.1155/S1048953392000078
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.