MSC: | 34A37 | Differential equations with impulses |
34G10 | Linear equations | |
34D09 | Dichotomy, trichotomy |
Abstract:
In the paper a dependence is established between the ψ-exponential dichotomy
of a homogeneous impulsive differential equation in a Banach space and the existence of ψ-
bounded solution of the appropriate nonhomogeneous impulsive equation.