DIFFERENSIAL TENGLAMALAR TARIXI
DOI:
https://doi.org/10.54613/ku.v14i.1179Keywords:
differensiallash, tadqiqot, matematik tahlil, modellashtirish, matematik-fizika, dinamik tizimlar, fizik jarayonlar.Abstract
Ushbu maqolada differensial tenglamalarning matematik tahlilning asosiy sohasi sifatida rivojlanish tarixi yoritilgan. Unda XVII asrda Isaak Nyuton va Gotfrid Leybnitsning ishlanmalari asosida paydo boʻlgan differensial tenglamalar qanday qilib XVIII va XIX asrlarda Leonard Eyler, Karl Gustav Yakobi, va Fransua Jozef Furye kabi matematiklarning tadqiqotlari bilan yanada rivojlanganligi haqida soʻz boradi. Matematik-fizika sohasidagi Maksvell, Navier-Stokes, va Shryodinger tenglamalari bilan bogʻliq qoʻllanmalarga alohida eʼtibor qaratilgan. XX asrda differensial tenglamalarning chiziqli boʻlmagan shakllari va kompyuter yordamida yechim usullarining rivojlanishi ularning fizik, biologik va iqtisodiy jarayonlarda qoʻllanilishini kengaytirdi. Maqola differensial tenglamalarning fan va texnologiyadagi hozirgi va kelajakdagi oʻrnini taʼkidlab, bu sohaning ahamiyatini ochib beradi.
Foydalanilgan adabiyotlar:
George F. Simmons DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES Third Edition by Taylor & Francis Group, LLC. 2017
Krishnachandran Vengallur. DIFFERENTIAL EQUATIONS: A HISTORICAL REFRESHER. Vidya Academy of Science & Technology December 2020
Tom Archibald, Craig Fraser, Ivor Grattan-Guinness. The History of Differential Equations, 1670–1950. 30 September 2005
THE HISTORY OF DIFFERENTIAL FORMS FROM CLAIRAUT TO POINCARi BY VICTOR J. KATZ UNIVERSITY OF THE DISTRICT OF COLUMBIA WASHINGTON, D.C. 2020
Otto, M., & Thornton, J. (2023). MATEMATIKANI OʻQITISHDA QIYOSIY USULLAR VA OʻQUV TEXNOLOGIYALARI. QO ‘QON UNIVERSITETI XABARNOMASI, 9, 241-244.
Azimova, T. E. (2024). MATEMATIKA FANINING IQTISODIYOTDAGI AHAMIYATI (HOSILANING TADBIQI). Kokand University Research Base, 536-539.
Boltaev K. K., qizi Azimova T. E. Description of Real AW*-Factors of Type I //EUROPEAN JOURNAL OF INNOVATION IN NONFORMAL EDUCATION. – 2022. – Т. 2. – №. 2. – С. 413-421.
qizi Azimova, T. E. (2023). ECONOMIC DIRECTIONS IN TEACHING MATHEMATICS. Intent Research Scientific Journal, 2(4), 54-56
Published
Iqtiboslik olish
Issue
Section
License
Copyright (c) 2025 QO‘QON UNIVERSITETI XABARNOMASI
This work is licensed under a Creative Commons Attribution 4.0 International License.