Илғор иқтисодиёт ва педагогик технологиялар Volume 3 Issue 3 (2026) · pp. 353-360

OPTIMIZATION OF INVESTMENT FLOWS THROUGH THE ITО STOCHASTIC DIFFERENTIAL EQUATION IN A SELF-ORGANIZING TRADING SYSTEM

Abdullaev, Ulmas, Jaksilikova, Xurliman, Абдуллаев, Улмас, Жаксылыкова, Хурлиман, Abdullaev, Ulmas, Jaksilikova, Xurliman

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Abstract

This article analyzes the problem of optimizing investment flows in a self-organizing trading system. From a mathematical perspective, the apparatus of stochastic calculus, particularly Itô stochastic differential equations, is employed. The trading system is modeled as a self-organizing structure capable of adapting to external economic processes. Based on the Gronwall–Bellman equation, a mathematical model is proposed that enables the determination of the optimal trajectory for the allocation of investment resources. The obtained results are of significant importance for forecasting economic systems, optimizing resource allocation, and developing market strategies

investment flowstochastic differential equationsITO equationself-organizing systemsGronwall–Bellman equationeconomic growthинвестиционный потокстохастические дифференциальные уравненияуравнение Итосамоорганизующиеся системы

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Cite

APA 7 
Abdullaev, Ulmas, Jaksilikova, Xurliman, Абдуллаев, Улмас, Жаксылыкова, Хурлиман, Abdullaev, Ulmas & Jaksilikova, Xurliman (2026). OPTIMIZATION OF INVESTMENT FLOWS THROUGH THE ITО STOCHASTIC DIFFERENTIAL EQUATION IN A SELF-ORGANIZING TRADING SYSTEM. Илғор иқтисодиёт ва педагогик технологиялар, 3(3), 353-360.
GOST R 7.0.5 
Abdullaev, Ulmas, Jaksilikova, Xurliman, Абдуллаев, Улмас, Жаксылыкова, Хурлиман, Abdullaev, Ulmas, Jaksilikova, Xurliman OPTIMIZATION OF INVESTMENT FLOWS THROUGH THE ITО STOCHASTIC DIFFERENTIAL EQUATION IN A SELF-ORGANIZING TRADING SYSTEM // Илғор иқтисодиёт ва педагогик технологиялар. 2026. Т. 3. № 3. С. 353-360.
BibTeX 
@article{ulmas2026,
  author  = {Abdullaev, Ulmas and Jaksilikova, Xurliman and Абдуллаев, Улмас and Жаксылыкова, Хурлиман and Abdullaev, Ulmas and Jaksilikova, Xurliman},
  title   = {OPTIMIZATION OF INVESTMENT FLOWS THROUGH THE ITО STOCHASTIC DIFFERENTIAL EQUATION IN A SELF-ORGANIZING TRADING SYSTEM},
  journal = {Илғор иқтисодиёт ва педагогик технологиялар},
  year    = {2026},
  volume  = {3},
  number  = {3},
  pages   = {353-360}
}
RIS 
TY  - JOUR
AU  - Abdullaev, Ulmas
AU  - Jaksilikova, Xurliman
AU  - Абдуллаев, Улмас
AU  - Жаксылыкова, Хурлиман
AU  - Abdullaev, Ulmas
AU  - Jaksilikova, Xurliman
TI  - OPTIMIZATION OF INVESTMENT FLOWS THROUGH THE ITО STOCHASTIC DIFFERENTIAL EQUATION IN A SELF-ORGANIZING TRADING SYSTEM
JO  - Илғор иқтисодиёт ва педагогик технологиялар
PY  - 2026
VL  - 3
IS  - 3
SP  - 353
EP  - 360
ER  -