Mogilevskii V. Spectral properties of symmetric linear relations and differential systems

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0516U000477

Thesis Registration Form

0516U000477.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

31-05-2016

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We study spectral properties of symmetric linear relations and differential systems. The theory of boundary triplets and their Weyl functions is extended to relations with unequal deficiency indices. For such relations various classes of extensions are described in terms of abstract boundary conditions. A parametrization of exit space self-adjoint extensions is obtained. A certain geometrical properties of exit space extensions are characterized. Spectral properties of self-adjoint extensions of symmetric ope

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Files

aref_Mogilevskiy.pdf

dis.pdf

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