Half-Inverse Problem for Stieltjes String
Journal of Advances in Mathematics and Computer Science · pp. 539–548 · Published 22 Jun 2013
10.9734/BJMCS/2013/3286Abstract
The Dirichlet-Robin boundary value problem generated by the Stieltjes string vibrations recurrence relations is considered. It is shown that the spectrum of this problem, the values of the point masses and of lengths of the subintervals on the left part of the string together with the total length of it and the constant in the Robin condition uniquely determine the values of point masses and of lengths of the subintervals on the right part of this Stieltjes string if the number of the point masses on the left part is the same as this number on the right part. A method of recovering the values of point masses and of lengths of the subintervals on the right part is given. Necessary and sufficient conditions of solvability of such problem are obtained.
Cited by 6
Natalia Dilna, Svitlana Leshchuk · Applicable Analysis · 2023
N. Dilna, M. Fečkan · Applied Mathematics and Computation · 2018
N. Dilna · Examples and Counterexamples · 2022
Showing 3 of 6 known citations — external sources report more than can currently be individually listed.
Related research
- Analytical Investigation for the Displacement of Beams with Flexible Supports — shares topic coverage
- Eigenvalues for Some Complex In nite Tridiagonal Matrices — shares topic coverage
- A Possible Exact Solution for the Newtonian Constant of Gravity — shares topic coverage
- Assesment of Cocoa Genotypes for Quantitative Pod Traits — shares topic coverage
- Computation of Eigenvalues of the Fourth Order Sturm-Liouville BVP by Galerkin Weighted Residual Method — shares topic coverage
Article metrics
Real usage data collected on this platform.
30
Page views
0
PDF downloads
3
Outbound clicks
6
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.