Mahsulot tavsifi
MUNDARIJA Kirish…..…………………………………………………..……................. 2 I bob Singuliyar koeffisiyentli elliptik differensial operatorining pozitiv operator bo’lishi haqida …….......................................... 14 1.1-§. Asosiy tushuncha va belgilashlar ………………………………… 16 1.2-§. Pozitiv operator haqida tushuncha. Pozitiv operatorlarning xossalari ........................................................................................ 24 1.3-§. Singuliyar koeffisiyentli elliptik differensial operatorining pozitiv operatorligini ta’minlaydigan zaruriy shart .......………................ 28 I bob bo‘yicha xulosa ................................................................................... 38 II bob Banax fazosida singiliyar koeffisiyentli elliptik differensial operatori kasr tartibli darajasining differensial tenglamani tekshirishdagi tatbig’i haqida ………………………………… 39 2.1-§. Banax fazosida geperbolik tipidagi differensial tenglama uchun qo’yilgan Koshi masalasining yechimi .......................................... 42 2.2-§. Sobolev sinfida gererbolik tipidagi differensial tenglama uchun qo’yilgan Koshi masalasining aniq yechi bilan tatribiy yechimiga yaqinlashish tezligi haqida ........................................................... 44 II bob bo‘yicha xulosa ................................................................................ 46 III bob Banax fazosida singiliyar koeffisiyentli elliptik differensial operatori kasr tartibli darajasining spektral yoilmalarni holatini tekshirishdagi tadbig’i haqida ...................................... 47 3.1-§. Spektral yoyilma va spectral yoyilmaning yaqinlashishi …..…….. 50 3.2-§. Singuliyar koeffisiyentli elliptik differensial operatorining kasr darajalari yordamida banax fazosidagi funksiya spektral yoyilmasining yaqinlashish tezligini tekshirish ............................ 52 III bob bo‘yicha xulosa .................................................................................. 56 Xulosa ……………………………………………………………............... 57 Adabiyotlar ro‘yxati ................…………………………………………... 58
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