This paper studies the differential equation of the second order in the segment [0, π] with varying delays. Construct a characteristic function of the operator generated by this equation and the boundary conditions at the ends of space, studying certain generalization of these operators, which naturally imposed.
V FGAY. Inverse Sturm- Liouville problems and their aplications, Nova Science Publishers,Inc.
2.
Ambarzumjan V. Uber eine Frage der Eigenwerttheorie. In: Zeitshr fur Physik. p. 1929-53-690–5.
3.
Б НС. Дифференциальнюе уравнения второго лорядка с запаздывающим аргументом, Наука, Москва.
4.
Levinson N. The inverse Strum-Liouville problem. Vol. 13, Math. Tidssker. p. 25–30.
5.
O.H H. Discontinuons inverse eigenvalue problems. Vol. 37, Comm. Pure appl. Math. p. 539–77.
6.
Carlson R. Inverse spectral theory for some singular Sturm-Liouville problems. Vol. 106, J. Diff. Equations. p. 1993 ,121-140.
7.
Pikula M. Asimptotika svojstvenih vrijednosti i regularizovani tragovi linearnih diferencijalnih operatora.
8.
disertacija, Sarajevo.
9.
Б.М. Л, И.С. С, Дирака ОШЛ, Москва Н.
10.
A.Bayramov SOU, S. Kizilbudak Caliskan: Computation of eigenvalues and eigenfunction of a.
11.
discontinuous boundary value problem with retarded argument. Vol. 191, Appl. Math. Comput. p. 592–600.
Citation
Copyright
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.