**N. A. Izobov and R. A. Prokhorova**

## Coppel-Conti Sets of Linear Systems

**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.