IKKINCHI TARTIBLI XUSUSIY HOSILALI DIFFERENSIAL TENGLAMALARNING KLASSIFIKATSIYASI VA UNI KANONIK KO‘RINISHGA KELTIRISH MASALALARI

MUNDARIJA

Kirish……………………………………………………………………...............3

I BOB. XUSUSIY HOSILALI DIFFERENSIAL TENGLAMALAR HAQIDA UMUMIY TUSHUNCHALAR

1.1-§ Xususiy hosilali differensial tenglamalar............................................5

1.2-§ Xususiy hosilali differensial tenglamalar va ularning yechimi to’g’risida tushuncha.............................................................................................18

1.3-§ Ikkinchi tartibli differensial tenglamalarning klassifikatsiyasi va kanonik ko‘rinishga keltirish...............................................................................23

II-BOB. IKKINCHI TARTIBLI XUSUSIY HOSILALI DIFFERENSIAL TENGLAMALAR.

           2.1-§ Ikkinchi tartibli ikki o‘zgaruvchili kvazichiziqli xususiy  hosilali differrensial tenglamalarni kanonik korinishga keltirish.……….....................30

          2.2-§ Xususiy hosilali differensial tenglamalar uchun asosiy masalalarning qo‘yilishi........................................................................................37

          2.3-§ Ikki o‘zgaruvchili ikkinchi tartibli xususiy hosilali differensial tenglamalarning umumiy yechimini topishga doir misollar...............................43

          2.4-§  Ikkinchi tartibli xususiy hosilali chiziqli differensial tenglamalar uchun chegaraviy masalalarning qo‘yilishi.......................................................47

XULOSA………………………………………………………..................50

Foydalanilgan adabiyotlar……………………………………………......