Zobrazeno 1 - 10
of 22
pro vyhledávání: '"34A55, 34K29"'
Autor:
Djurić, Nebojša, Vojvodić, Biljana
This paper addresses inverse spectral problems associated with Dirac-type operators with a constant delay, specifically when this delay is less than one-third of the interval length. Our research focuses on eigenvalue behavior and operator recovery f
Externí odkaz:
http://arxiv.org/abs/2408.01229
Autor:
Shieh, Chung-Tsun, Tsai, Tzong-Mo
This research was devoted to investigate the inverse spectral problem of Sturm-Liouville operator with many frozen arguments. Under some assumptions, the authors obtained uniqueness theorems. At the end, a numerical simulation for the inverse problem
Externí odkaz:
http://arxiv.org/abs/2407.14889
We study the inverse spectral problems of recovering Dirac-type functional-differential operator with two constant delays $a_1$ and $a_2$ not less than one-third of the interval. It has been proved that the operator can be recovered uniquely from fou
Externí odkaz:
http://arxiv.org/abs/2308.08439
Autor:
Buterin, Sergey
We suggest a new formulation of the inverse spectral problem for second-order functional-differential operators on star-shaped graphs with global delay. The latter means that the delay, being measured in the direction to a specific boundary vertex, c
Externí odkaz:
http://arxiv.org/abs/2304.14266
Autor:
Buterin, Sergey, Vasilev, Sergey
We suggest a new statement of the inverse spectral problem for Sturm--Liouville-type operators with constant delay. This inverse problem consists in recovering the coefficient (often referred to as potential) of the delayed term in the corresponding
Externí odkaz:
http://arxiv.org/abs/2304.05487
Autor:
Buterin, Sergey
We suggest a new concept of functional-differential operators with constant delay on geometrical graphs that involves {\it global} delay parameter. Differential operators on graphs model various processes in many areas of science and technology. Alth
Externí odkaz:
http://arxiv.org/abs/2210.17266
Autor:
Buterin, Sergey, Djurić, Nebojša
We initiate studying inverse spectral problems for Dirac-type functional-differential operators with constant delay. For simplicity, we restrict ourselves to the case when the delay parameter is not less than one half of the interval. For the conside
Externí odkaz:
http://arxiv.org/abs/2204.08259
The paper deals with Sturm-Liouville-type operators with frozen argument of the form $\ell y:=-y''(x)+q(x)y(a),$ $y^{(\alpha)}(0)=y^{(\beta)}(1)=0,$ where $\alpha,\beta\in\{0,1\}$ and $a\in[0,1]$ is an arbitrary fixed rational number. Such nonlocal o
Externí odkaz:
http://arxiv.org/abs/2106.03525
Autor:
Djurić, Nebojša, Buterin, Sergey
In recent years, there appeared a considerable interest in the inverse spectral theory for functional-differential operators with constant delay. In particular, it is well known that, for each fixed $\nu\in\{0,1\},$ the spectra of two operators gener
Externí odkaz:
http://arxiv.org/abs/2102.08149
Autor:
Djurić, Nebojša, Buterin, Sergey
As is known, for each fixed $\nu\in\{0,1\},$ the spectra of two operators generated by $-y''(x)+q(x)y(x-a)$ and the boundary conditions $y^{(\nu)}(0)=y^{(j)}(\pi)=0,$ $j=0,1,$ uniquely determine the complex-valued square-integrable potential $q(x)$ v
Externí odkaz:
http://arxiv.org/abs/2101.08557