Vyatchaninov O. Properties of solutions of discrete Volterra system

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004890

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

24-10-2011

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The criterion of boundedness and summability with p-th power for discrete Volterra system in complex Banach space have been obtained in the dissertation.The theorem about necessary and sufficient conditions for boundedness and summability with p-th power of recurrent sequence with unbounded operational coefficient and one starting condition have been proved in a case when incoming sequence belongs to a special class of sequences. Similiar results have been proved for discrete Cauchy problem with some starting conditions.

Files

Similar theses