Stability of some essential B-spectra of pencil operators and application

• Ben Ali, A. ^[1] ; M. Boudhief ^[1] ; N. Moalla ^[1]
  1. [1] University of Sfax

     University of Sfax

     Túnez

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 36, Nº 1, 2021, págs. 63-80
• Idioma: inglés
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• Resumen

  • In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1]), p ≥ 1 and a > 0.