A. G. Baskakov, K. I. Chernyshov, “Linear Relations, Differential Inclusions, and Degenerate Semigroups”, Funktsional. Anal. i Prilozhen., 2002, Volume 36, Issue 4,Pages <nobr>65

This article is cited in 4 papers

Brief communications

Linear Relations, Differential Inclusions, and Degenerate Semigroups

A. G. Baskakov^a, K. I. Chernyshov^b

^a Voronezh State University
^b Voronezh State Academy of Forestry Engineering

Abstract: A generalized linear differential equation in a Banach space is studied. The construction of a phase space and solutions with the help of the spectral theory of linear operators, ergodic theorems, and degenerate semigroups of linear operators is carried out.

Keywords: linear relation, differential inclusion, degenerate semigroup, extended spectrum, ergodic subspace.

UDC: 517.955.4

Received: 01.11.2001

DOI: 10.4213/faa220