Parabolik-giperbolik tipdagi tenglama uchun chegaraviy masalalar”

O‘ZBEKISTON RESPUBLIKASI
OLIY TA’LIM, FAN VA INNOVATSIYALAR VAZIRLIGI
FARG‘ONA DAVLAT UNIVERSITETI
Qo‘lyozma xuquqida
UDK:
Abduvohidova Mohichehra Abdurahmon qizi
“Parabolik-giperbolik tipdagi tenglama uchun chegaraviy masalalar”

70540101-Matematika (yo‘nalishlar bo‘yicha) mutaxasisligi bo‘yicha

magistr akademik darajasini olish uchun yozilgan
MAGISTRLIK DISSERTATSIYASI

Ilmiy rahbar: fizika-matematika
fanlari nomzodi,
dotsent S.X.Akbarova
FARG‘ONA – 2023
MUNDARIJA
Kirish.......................................................................................................................3
I bob. Asosiy tushunchalar...................................................................................11
1.1-§. Ba’zi maxsus funksiyalar………...…………….…………………………..11
1.2-§. Xususiy hosilali tenglamalar……..…………………………………..…….25
1.3-§. Eyler – Darbu tenglamasi va uning asosiy xossalari…………………….…39
I bob bo‘yicha xulosa……………………………………………………………..48
II Bob. Parabolik va giperbolik tipdagi tenglamalar………………………….49
2.1-§. Buziluvchan parabolik tipdagi tenglama uchun cheksiz sohada masala……………………………………………………………………………..49
2.2-§. Buziluvchan giperbolik tipdagi tenglama uchun Koshi masalasi………….58
II bob bo‘yicha xulosa……………………………………………………………64
III bob. Aralash tipdagi parabolik-giperbolik tenglama uchun nolokal chegaraviy masalalar….…………………………………………………………65
3.1-§. T masalaning qo‘yilishi……………...…………………..……………..…..65
3.2-§.Yechimining mavjudligi va yagonaligi..........................................................68
III bob bo‘yicha xulosa……….……………………………………………….…..75
Xulosa…………………………………………………………………….............76
Adabiyotlar……………………………………………………………................77