Pelekhata O. General boundary value problems with a parameter

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0418U003492

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

30-10-2018

Specialized Academic Board

Д 26.206.02

Essay

The thesis is devoted to investigations of sufficient conditions of convergence the solutions of general linear boundary value problems for ordinary differential equations with arbitrary order r in the norm of space C^(r-1). The corresponding results are established for multipoint boundary value problems in the norm of space C^(r-1) on the finite interval (a,b) and Green's matrices in the uniformly norm. The opportunity of approximating of the solutions of the general boundary value problem is established by solutions of multipoint boundary value problem. Similar result is obtained for Green's matrix of the general boundary value problem.

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