N. A. Izobov and R. A. Prokhorova

Coppel-Conti Sets of Linear Systems

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.