Yakovlyeva O. Singular Integral Equations and New Discreet Systems Classes of Winner - Hopf Type.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002090

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

27-04-2007

Specialized Academic Board

К 41.051.05

Essay

Viewed are the new discreet systems classes of Winner - Hopf type. The equivalence between the examined systems and differential boundary value problems on a unit circle under given initial conditions of the systems was set up. On the basis of the singular integral equations the Noether’s conditions of the systems and properties of their solutions in normal and exclusive cases were found out. The evaluations of reduction rate of solutions together with the increase of their indexes were defined.

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