Open AccessSOME RESULTS ON ESSENTIAL SPECTRA OF DIFFERENTIAL OPERATORS IN BANACH SPACES
Author(s) -
В. А. Еровенко
Publication year - 2003
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2003.9637224
Subject(s) - mathematics , differential operator , banach space , spectrum (functional analysis) , pure mathematics , unbounded operator , order (exchange) , differential (mechanical device) , polynomial , lp space , lebesgue integration , mathematical analysis , spectral line , approximation property , physics , finance , quantum mechanics , astronomy , economics , thermodynamics
In this paper we investigate spectral and semi‐Predholm properties of maximum and minimum Puchsian differential operators on Lebesgue spaces on a semi‐axis. These results are applied for determination of various essential spectra and spectrum of ordinary differential operators with polynomial coefficients, which order does not exceed the order of the corresponding derivative.