Innovations in Science and Technologies Volume 3 Issue 6 (2026) · pp. 623-630

DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS

Alladustov, Shukhrat

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Abstract

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.

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

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Cite

APA 7 
Alladustov, Shukhrat (2026). DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS. Innovations in Science and Technologies, 3(6), 623-630.
GOST R 7.0.5 
Alladustov, Shukhrat DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS // Innovations in Science and Technologies. 2026. Т. 3. № 6. С. 623-630.
BibTeX 
@article{shukhrat2026,
  author  = {Alladustov, Shukhrat},
  title   = {DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS},
  journal = {Innovations in Science and Technologies},
  year    = {2026},
  volume  = {3},
  number  = {6},
  pages   = {623-630}
}
RIS 
TY  - JOUR
AU  - Alladustov, Shukhrat
TI  - DEGENERATE CASE IN INVESTIGATING CRITICAL POINTS IN TWOVARIABLE ECONOMIC OPTIMIZATION PROBLEMS
JO  - Innovations in Science and Technologies
PY  - 2026
VL  - 3
IS  - 6
SP  - 623
EP  - 630
ER  -