Bounded solutions of linear and weakly nonlinear differential equations in a Banach space with an unbounded operator in the linear part |
| |
Authors: | A. A. Pokutnyi |
| |
Affiliation: | 1.Institute for Mathematics,National Academy of Sciences,Kiev,Ukraine |
| |
Abstract: | For linear and weakly linear differential equations in a Banach space, we obtain necessary and sufficient conditions for the existence of bounded solutions on the entire real line under the assumption that the homogeneous equation dx/dt = A(t)x(t) admits an exponential dichotomy on the half-lines. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|