DIFFERENSIAL TENGLAMALAR YORDAMIDA IQTISODIY JARAYONLARNI MODELLASHTIRISH
Keywords:
Kalit so‘zlar: differensial tenglamalar, iqtisodiy dinamika, barqarorlik, Cobweb modeli, Solow modeli, inflyatsiya, diffuziya, optimal boshqaruv, Pontryagin prinsipi, O‘zbekiston.Abstract
Annotatsiya: Mazkur ilmiy maqolada differensial tenglamalarning
iqtisodiyotdagi o‘rni va qo‘llanilishi tizimli ravishda yoritilgan. Birinchi va ikkinchi
tartibli differensial tenglamalar, chiziqli va nochiziqli modellar, muvozanat va
barqarorlik tahlili, fazoviy portretlar, Lotka-Volterra modellari, optimal boshqaruv va
Pontryagin maksimum prinsipi batafsil tahlil qilingan. Iqtisodiyotning asosiy
jarayonlari — bozor muvozanati dinamikasi (Cobweb modeli), neoklassik o‘sish
modeli (Solow modelining differensial shakli), inflyatsiya dinamikasi, tarqalish
modellari (diffuziya) va innovatsiyalar tarqalishi misollarida differensial
tenglamalarning qo‘llanilishi ko‘rsatilgan. O‘zbekiston iqtisodiyoti ma’lumotlari
asosida dinamik modellarni baholash natijalari keltirilgan.
References
FOYDALANILGAN ADABIYOTLAR
1.Arrow, K. J., & Kurz, M. (2018). Public Investment, the Rate of Return, and
Optimal Fiscal Policy. Routledge.
2.Barro, R. J., & Sala-i-Martin, X. (2004). Economic Growth (2nd ed.). MIT
Press.
3.Bass, F. M. (1969). A New Product Growth for Model Consumer
Durables. Management Science, 15(5), 215-227.
4.Blanchard, O. J., & Fischer, S. (2019). Lectures on Macroeconomics. MIT
Press.
5.Boyce, W. E., & DiPrima, R. C. (2017). Elementary Differential Equations
and Boundary Value Problems (11th ed.). Wiley.
6.Cagan, P. (1956). The Monetary Dynamics of Hyperinflation. In M. Friedman
(Ed.), Studies in the Quantity Theory of Money. University of Chicago Press.
7.Chiang, A. C., & Wainwright, K. (2005). Fundamental Methods of
Mathematical Economics (4th ed.). McGraw-Hill.
8.Coddington, E. A., & Levinson, N. (2018). Theory of Ordinary Differential
Equations. McGraw-Hill.
9.Gandolfo, G. (2010). Economic Dynamics (4th ed.). Springer.
10.Hirsch, M. W., Smale, S., & Devaney, R. L. (2019). Differential Equations,
Dynamical Systems, and an Introduction to Chaos (3rd ed.). Academic Press.
