Dissipative dirac operator on time scales [Articol]
| dc.contributor.author | Allahverdiev, Bilender P. | en |
| dc.contributor.author | Tuna, Hüseyin | en |
| dc.date.accessioned | 2026-06-03T07:07:50Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | In this paper, we study symmetric Dirac operator acting on time scales. We give maximal dissipative, maximal accumulative and self-adjoint extensions of such operator via the boundary conditions. Further, we construct a self-adjoint dilation of the maximal dissipative operator and determine the scattering matrix of dilation. Later, we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of such operator are complete in the convenient Hilbert space. | en |
| dc.identifier.citation | ALLAHVERDIEV, Bilender P. and Hüseyin TUNA. Dissipative dirac operator on time scales. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica. 2025, nr. 2-3(108-109), pp. 3-20. ISSN 1024-7696; E-ISSN 2587-4322. Disponibil: https://doi.org/10.56415/basm.y2025.i2-3.p3 | en |
| dc.identifier.issn | 1024-7696 | |
| dc.identifier.issn | 2587-4322 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/20825 | |
| dc.identifier.uri | https://doi.org/10.56415/basm.y2025.i2-3.p3 | |
| dc.language.iso | en | |
| dc.publisher | Moldova State University | en |
| dc.subject | time scales | en |
| dc.subject | dissipative dirac operator | en |
| dc.subject | self-adjoint dilation | en |
| dc.subject | characteristic function | en |
| dc.subject | completeness of the system of root vectors | en |
| dc.title | Dissipative dirac operator on time scales [Articol] | en |
| dc.type | Article |