M U N D A R I J A KIRISH...................................................................................................................... 4 BOB BUTUN O‘QDA BERILGAN TEZ KAMAYUVCHI FUNKSIYALAR SINFIDA ANIQLANGAN POTENSIALLI SHTURM- LIUVILL TENGLAMASI UCHUN SOCHILISH NAZARIYASI1.1-§ Butun o‘qda berilgan tez kamayuvchi funksiyalar sinfida aniqlangan potensialli Shturm-Liuvill tenglamasi uchun sochilish nazariyasi..................... 7 1.2-§ Korteveg–de Friz tenglamasi...................................................... 12 BOB O‘NG TARAFGA EGA BO‘LGAN KORTEVEG-DE FRIZ TENGLAMASINI YECHISH2.1-§ Moslangan manbali Korteveg-de Friz tenglamasini tez kamayuvchi funksiyalar sinfidayechish........................................................................... 19 2.2-§ Sochilish nazariyasida teskari masala yechishalgoritmi............... 25 BOB TURLI TURDAGI MOSLANGANYUKLANGAN KORTEVEG DE FRIZ TENGLAMASINI INTEGRALLASH3.1-§ Yuklangan Korteveg-de Friz tenglamasini integrallash........... 26 3.2-§ Oddiy turdagimoslangan manbali yuklangan Korteveg-de Friz tenglamasini integrallash.......................................................................... 30 3.3-§ Xarakatlanuvchi xos qiymatli moslangan manbali yuklangan Korteveg-de Friz tenglamasini integrallash…............................................... 36 XULOSA.................................................................................................... 43 FOYDALANILGAN ADABIYOTLAR...................................................... 44