Martynyuk O. Continuous and discrete half-inverse problems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U006190

Thesis Registration Form

0412U006190.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

30-10-2012

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

This thesis is devoted to continuous and discrete Hochstadt-Liebermann type problems generated by the Sturm-Liouville equation on a finite interval and by the equations of small transversal vibrations of a Stieltjes string. In this work necessary and sufficient conditions of existence of solution are found for the problems generated by the Sturm-Liouville equation with the Dirichlet boundary conditions, by the Stieltjes string equation with the Dirichlet, Dirichlet-Neumann and Dirichlet-Robin conditions and also by the figure-of-eight Stiltjes string. A method is proposed to recover the unknowns in these problems

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Files

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dis.pdf

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