Degenerate case in investigating critical points in twovariable economic optimization problems

Alladustov, Shukhrat

Innovations in Science and Technologies · 2026-yil

Annotatsiya

In economics, most of the optimization problems reduce to finding critical points of an objective function. We present accessible methods such as Taylor expansion and Splitting methods. The proposed approaches are accessible to undergraduate students and researchers encountering degenerate critical points in optimization and mathematical modelling.

Maqola ma’lumotlari
MualliflarAlladustov, Shukhrat
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2026-07-03
Jild3
Son6
Betlar623-630
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Kalit so‘zlar

Polynomial, partial derivative, determinant, critical point, two-variable function, Taylor series.

Ilmiy soha

Iqtibos keltirish

APAAlladustov, Shukhrat (2026). DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS. Innovations in Science and Technologies, 3(6), 623-630. https://innoist.uz/index.php/ist/article/view/1654
GOST (OAK)Alladustov, Shukhrat DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS // Innovations in Science and Technologies. – 2026. – T. 3, № 6. – P. 623-630.
MLAAlladustov, Shukhrat. “DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS.” Innovations in Science and Technologies, 3(6), 623-630, 2026. https://innoist.uz/index.php/ist/article/view/1654
ChicagoAlladustov, Shukhrat. “DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS.” Innovations in Science and Technologies, 3(6), 623-630 (2026). https://innoist.uz/index.php/ist/article/view/1654
HarvardAlladustov, Shukhrat (2026) ‘DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS’, Innovations in Science and Technologies, 3(6), 623-630. https://innoist.uz/index.php/ist/article/view/1654
BibTeX
@article{alladustovshukhrat2026,
  title = {DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS},
  author = {Alladustov, Shukhrat},
  journal = {Innovations in Science and Technologies},
  year = {2026},
  volume = {3},
  number = {6},
  pages = {623-630},
  url = {https://innoist.uz/index.php/ist/article/view/1654}
}

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