International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 1992 / Article

Open Access

Volume 5 |Article ID 264346 |

D. D. Bainov, S. I. Kostadinov, N. Van Minh, N. Hong Thai, P. P. Zabreiko, "Integral manifolds of impulsive differential equations", International Journal of Stochastic Analysis, vol. 5, Article ID 264346, 11 pages, 1992.

Integral manifolds of impulsive differential equations

Received01 Feb 1991
Revised01 Mar 1991


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.

Copyright © 1992 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

More related articles

 PDF Download Citation Citation
 Order printed copiesOrder

Related articles

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.