Reva N. Continuous parameter dependence of solutions of linear boundary value problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U002449

Thesis Registration Form

0409U002449.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

19-05-2009

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

We obtained new sufficient conditions for the convergence of solutions of the most general boundary value problems for the systems of linear differential equations and corresponding Green's matrices in the C-norm or Sobolev's -norm of absolutely continuous functions on the interval [a,b], or in the Lebeg's-norm of the essentially bounded functions on the square respectively. Applications of these results to investigation of the continuous dependence on the parameter of the solutions and Green's matrices of the boundary value problems for the scalar linear differential equations of the higher order were obtained.

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Files

Aref.pdf

Disertacia.pdf

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