N. A. Izobov and R. A. Prokhorova
abstract:
The paper contains a brief review of results, obtained by the authors,
on certain topics in the theory of Coppel-Conti sets of linear systems: the
solution of Conti's problem on the inclusion property as the parameter
increases; the construction of criteria for the roughness of these sets and
their limit sets under uniformly small or integrable perturbations;
applications to the investigation of bounded solutions of perturbed
nonhomogeneous linear systems.
Mathematics Subject Classification: 34C11, 34D05, 34D10.
Key words and phrases: Coppel-Conti sets of linear systems, limit sets, $L^p$-dichotomy, the interior and the integral interior of a set, linear boundary value problem.