Agibalova G. On the completeness of root vectors of boundary value problems for the systems of ordinary differential equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U006139

Thesis Registration Form

0412U006139.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

31-10-2012

Specialized Academic Board

Д 11.193.03

Essay

The thesis is devoted to investigation of the completeness of the system of root vectors for matrix differential equations of fractional and integer orders. We obtain sufficient conditions and the completeness criterion for 2x2 first-order systems. The completeness of root subspaces of a boundary-value problem for matrix n-th order differential equations and for differential equations of fractional order subject to splitting normalized boundary conditions is proved.

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