Ushbu maqolada birinchi chorakda telegraf tenglamasi uchun
boshlang‘ich-chegaraviy masalani Furye integral almashtirishlari usuli yordamida yechish
masalasi tadqiq qilingan. Furyening kosinus almashtirishidan foydalanib, masala oddiy
differensial tenglamaga keltirilgan va ikki xil fizik hol (tebranuvchi va tebranishsiz so‘nish)
uchun analitik yechimlar aniq formulalar shaklida olingan. Berilgan masalaning yechimi
yagonaligi isbotlangan
Telegraf tenglamasi, Furyening integral alamshtirishi, boshlang‘ich
1. Zikirov O. Matematik fizika tenglamalari. Toshkent: Universitet, 2017. - 345 b.
2. Пикулин В.П., Похожаев С.И. Практический курс по уравнениям
математической физики. Москва: Наука, 2004. - 456 с.
3. Alimov Sh.A., Ashurov R.R. Matematik tahlil (2-qism). Toshkent: O‘qituvchi, 2017. - 412 b.
4. Strauss W.A. Partial Differential Equations: An Introduction. 2nd ed. Wiley, 2007.
5. Farlow S.J. Partial Differential Equations for Scientists and Engineers. Dover, 1993.