On the Asymptotic Expansion of the Characteristic Determinant for a 2 × 2 Dirac Type System

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On the Asymptotic Expansion of the Characteristic Determinant for a 2 × 2 Dirac Type System. / Lunev, A.; Malamud, M.

In: Journal of Mathematical Sciences, Vol. 284, No. 6, 27.09.2024, p. 795-823.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{886b6569789b452eb469f50886c7a6c0,

title = "On the Asymptotic Expansion of the Characteristic Determinant for a 2 × 2 Dirac Type System",

abstract = "The paper is concerned with the asymptotic expansion of solutions to the following 2 × 2 Dirac type system: (Formula presented.) with a smooth matrix potential Q∈W1n0,1⊗C2×2 and b1 < 0 < b2. If b2 = −b1 = 1, this equation is equivalent to one dimensional Dirac equation. We apply these formulas to get the asymptotic expansion of the characteristic determinant of the boundary value problem associated with the above equation subject to the general two-point boundary conditions. This expansion directly yields new completeness result for the system of root functions of such BVP with nonregular boundary conditions. {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.",

author = "A. Lunev and M. Malamud",

note = "Export Date: 19 October 2024 Адрес для корреспонденции: Malamud, M.; St.Petersburg State UniversityRussian Federation; эл. почта: malamud3m@gmail.com",

year = "2024",

month = sep,

day = "27",

doi = "10.1007/s10958-024-07390-9",

language = "Английский",

volume = "284",

pages = "795--823",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - On the Asymptotic Expansion of the Characteristic Determinant for a 2 × 2 Dirac Type System

AU - Lunev, A.

AU - Malamud, M.

N1 - Export Date: 19 October 2024 Адрес для корреспонденции: Malamud, M.; St.Petersburg State UniversityRussian Federation; эл. почта: malamud3m@gmail.com

PY - 2024/9/27

Y1 - 2024/9/27

N2 - The paper is concerned with the asymptotic expansion of solutions to the following 2 × 2 Dirac type system: (Formula presented.) with a smooth matrix potential Q∈W1n0,1⊗C2×2 and b1 < 0 < b2. If b2 = −b1 = 1, this equation is equivalent to one dimensional Dirac equation. We apply these formulas to get the asymptotic expansion of the characteristic determinant of the boundary value problem associated with the above equation subject to the general two-point boundary conditions. This expansion directly yields new completeness result for the system of root functions of such BVP with nonregular boundary conditions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

AB - The paper is concerned with the asymptotic expansion of solutions to the following 2 × 2 Dirac type system: (Formula presented.) with a smooth matrix potential Q∈W1n0,1⊗C2×2 and b1 < 0 < b2. If b2 = −b1 = 1, this equation is equivalent to one dimensional Dirac equation. We apply these formulas to get the asymptotic expansion of the characteristic determinant of the boundary value problem associated with the above equation subject to the general two-point boundary conditions. This expansion directly yields new completeness result for the system of root functions of such BVP with nonregular boundary conditions. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

UR - https://www.mendeley.com/catalogue/694ba8ea-b245-3f58-96fb-51ab25a97d66/

U2 - 10.1007/s10958-024-07390-9

DO - 10.1007/s10958-024-07390-9

M3 - статья

VL - 284

SP - 795

EP - 823

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 126383850