Integral manifolds of impulsive differential equations. (1992)

• Record Type: Journal Article
• Authors: Bainov, D. D.; Kostadinov, S. I.; Van Minh, N.; Thai, N. Hong; Zabreiko, P. P.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 2(1992)
• Page Start: 99
• Page End: 109
• Publication Date: 1992
• Subjects: integral manifold -- exponential trichotomy; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000078
• Languages: English
• ISSNs: 1048-9533

Abstract

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.