Semenyshyna I. Seminvariant manifolds and periodic solutions of degenerate difference equations in Banach spaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U004593

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

18-11-2005

Specialized Academic Board

К 76.051.02

Essay

For solutions of nonlinear degenerate equations of first and mth order in an abstract Banach space,sufficient conditions of extendibility" to the left" were established in the work.Sufficient conditions for a degenerate system of difference equations to determine a bounded semiinvariant manifold in the Banach space of bounded number sequences m are found, as well as sufficient conditions of smoothness of that manifold.For periodic solutions of nonlinear difference equations of first and second order in an abstract Banach space,the question of existence is researched.

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