I. A. Krishtal, N. B. Uskova, “Spectral properties of first-order differential operators with an involution and groups of operators”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>1091

This article is cited in 6 papers

Real, complex and functional analysis

Spectral properties of first-order differential operators with an involution and groups of operators

I. A. Krishtal^a, N. B. Uskova^b

^a Northern Illinois University, Dekalb, IL, IL, 60115, USA
^b Voronezh State Technical University, 14, Moskovsky ave., Voronezh, 394026, Russia

Abstract: Several mixed problems for the differential equations with an involution are considered in this work. The spectral properties of the corresponding differential operators are studied. The operator groups generated by the differential operators with an involution are constructed.

Keywords: method of similar operators, differential operator with an involution, spectrum, group of operators.

UDC: 517.9

MSC: 35L75

Received March 15, 2019, published August 16, 2019

DOI: 10.33048/semi.2019.16.076