Innovations in Science and Technologies Volume 3 Issue 4 (2026) · pp. 155-161

QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI

Qurbonov, Oybek, Bekchanov, Sherzad, Ergashev, Isroilbek

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Abstract

Mazkur ishda bir o‘lchovli ℤ panjarada aniqlangan parametrga ega diskret Shredinger operatorga mos Fredholm determinantining xossalari tadqiq etilgan. Bu xossalarni o‘rganish operatorning spektrlarini o‘rganishda qulay hisoblanadi.Operatorning qo‘zg‘almas qismi diskret trilaplasian operatori bilan, lokal bo‘lmagan potensial esa kroneker delta funksiyasi va siljitish operatori bilan tavsiflanadi. Muhim spektrdan chapda xos qiymatlarning mavjudlik bo‘lishining zaruriy sharti va uning parametrlarga bog‘liqligi isbotlanadi. Shuningdek Fredholm determinantining koeffitsiyentlari uchun turli asimptotikalar olinadi.

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Cite

APA 7 
Qurbonov, Oybek, Bekchanov, Sherzad & Ergashev, Isroilbek (2026). QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI. Innovations in Science and Technologies, 3(4), 155-161.
GOST R 7.0.5 
Qurbonov, Oybek, Bekchanov, Sherzad, Ergashev, Isroilbek QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI // Innovations in Science and Technologies. 2026. Т. 3. № 4. С. 155-161.
BibTeX 
@article{oybek2026,
  author  = {Qurbonov, Oybek and Bekchanov, Sherzad and Ergashev, Isroilbek},
  title   = {QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI},
  journal = {Innovations in Science and Technologies},
  year    = {2026},
  volume  = {3},
  number  = {4},
  pages   = {155-161}
}
RIS 
TY  - JOUR
AU  - Qurbonov, Oybek
AU  - Bekchanov, Sherzad
AU  - Ergashev, Isroilbek
TI  - QO‘ZG‘ALMAS QISMI TRILAPLASIANDAN IBORAT BO‘LGAN DISKRET SHREDINGER OPERATORGA MOS FREDHOLM DETERMINANTINING XOSSALARI
JO  - Innovations in Science and Technologies
PY  - 2026
VL  - 3
IS  - 4
SP  - 155
EP  - 161
ER  -