YASHIRIN IQTISODIYOTNI DINAMIK TIZIMLAR VA KASR TARTIBLI DIFFERESIAL TENGLAMALAR YORDAMIDA TADQIQ QILISH
Keywords:
kasr tartibli differensial tenglama, yashirin iqtisodiyot, rasmiy iqtisodiyot, dinamik tizim, Banax fiksirlangan nuqta teoremasi, turg‘un holat, soliq bosimi, korrupsiya, davlat nazorati, matematik modellashtirish.Abstract
Ushbu maqolada yashirin (norasmiy) iqtisodiyotning rivojlanish dinamikasi kasr tartibli differensial tenglamalar yordamida modellashtirilgan. Modelda soliq bosimi, davlat nazorati va korrupsiya darajasi kabi omillar hisobga olinib, yashirin va rasmiy iqtisodiyot o‘rtasidagi o‘zaro bog‘liqlik tahlil qilingan. Kasr tartibli yondashuv iqtisodiy jarayonlarning vaqt bo‘yicha xotira effektini hisobga olgan holda aniqlikni oshiradi. Yechimning mavjudligi va yagonaligi Banax fiksirlangan nuqta teoremasi yordamida isbotlangan. Model asosida iteratsion algoritmlar bilan turg‘un holatga yaqinlashish ko‘rsatildi va raqamli simulyatsiya qilish imkoniyatlari muhokama qilindi.
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