II Bob. Giperbolik tipdagi tenglamalar(8soat)

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xususiy hosilali differensial tenglamalar

IV Bob. Elliptik tipdagi tenglam alar(l4 soat)

II Bob.
Giperbolik tipdagi tenglamalar(8soat)
2.1
Tor tebranish tenglamasi. Dalamber yechimi. Koshi masalasi
2
2.2
T o’lqin tenglamasi uchun Koshi masalasi yechim ining yagonaligi.
Talabalar bilimini oraliq baholash bo 'yicha reyting ballarini
ja m la sh haftasi
2
2.3
T o’lqin tenglamasi Koshi masalasi yechim ining formulalari
2
2.4
G ursa masalasi. Asgeyerson prinsipi
2
III Bob. F u r ’e usuli(12 soat)
3.1
Torning erkin tebranish tenglamasi uchun F ur'e usuli
2
3.2
Torning majburiy tebranish tenglamasi uchun F ur’e usuli
2
3.3
T o’rtburchakda Laplas tenglamasi uchun Dirixle masalasini Fur’e
usuli yordamida yechish
2
3.4
Doirada Dirixle masalasini Fur’e usuli bilan yechish
2
3.5
Issiqlik tarqalish tenglamasi uchun birinchi chegaraviy masalani
Fur’e
usuli
yordam ida
yechish.
5.6.Bir jinsli bulmagan issiqlik tarqalish tenglam asi uchun Fur’e
2

usuli . Talabalar bilimini oraliq baholash bo 'yicha reyting ballarirti
ja m ia sh haftasi
IV Bob. Elliptik tipdagi tenglam alar(l4 soat)
4.1
Laplas
tenglamasining
fundamental
yechimi.Garmonik
funksiyalarning integral tasviri
2
4.2
Garmonik funksiyalar uchun o ’rta qiymat haqidagi teorema.
Ekstremum prinsipi
2
4.3
Dirixle masalasining Grin funksiyasi va uning xossalai i
2
4.4
Shar uchun Dirixle masalasining yechimi
2
4.5
Sham ing tashqarisi uchun Dirixle masalasining yechilishi
2
4.6
Yarim fazo uchun Dirixle masalasining yechilishi
2
4.7
Garnak tengsizligi. Liuvil va Garnak teoremalari.
2

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