Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index

• Published in: Український математичний вісник
• Date: 2017
• Main Author: Mogilevskii, V.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169323
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index / V.I. Mogilevskii // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 220-264. — Бібліогр.: 38 назв. — англ.

We consider first-order symmetric system Jy′ −A(t)y = λ∆(t)y with n×n-matrix coefficients defined on an interval [a, b) with the regular endpoint a. It is assumed that the deficiency indices N± of the system satisfies N− ≤ N+ = n. The main result is a parametrization of all pseudospectral functions...