Open AccessSpectral Analysis of Higher-Order Differential Operators with Discontinuity Conditions at an Interior Point
Author(s) -
V. A. Yurko
Publication year - 2017
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2017-63-2-362-372
Subject(s) - mathematics , discontinuity (linguistics) , completeness (order theory) , interval (graph theory) , jump , class (philosophy) , pure mathematics , spectral analysis , point (geometry) , order (exchange) , mathematical analysis , operator (biology) , physics , combinatorics , geometry , chemistry , spectroscopy , computer science , quantum mechanics , finance , artificial intelligence , economics , biochemistry , repressor , transcription factor , gene
Higher-order dierential operators on a nite interval with jump conditions inside the interval are studied. Properties of spectral characteristics are obtained, and completeness and expansion theorems are proved for this class of operators.