DAVRIY KOEFFITSIENTLI SHTURM-LIUVILL OPERATORLARINING KVADRATIK DASTASI UCHUN TESKARI SPEKTRAL MASALA
Keywords:
Kalit so‘zlar: Davriy funksiyalar sinfi, davriy masala, teskari spektral masala, Shturm-Liuvill operatorlarining kvadratik dastasi.Abstract
Annatatsiya. Hozirgi kunda nochiziqli to‘lqinlar nazariyasidagi izlanishlar,
jumladan, optik solitonlar telekomunikatsion texnologiyalar sohasida qo‘llanila
boshladi. Bundan tashqari, fizik sistemalarga ta’sir etuvchi kuchlar faqat vaqtning
ma’lum bir davri mobaynida chegaralangan bo‘ladi, shuning uchun haqiqiy modellar
fazoviy o‘zgaruvchilar bo‘yicha davriy va deyarli davriy funksiyalar sinfidagi
tenglamalarni o‘rganishga keltiriladi. Shu munosabat bilan davriy funksiyalar sinfida
yuklangan nochiziqli modifitsirlangan Korteveg-de Friz tenglamasini o‘rganish
maqsadli ilmiy tadqiqotlardan hisoblanadi. Bu paragrafda davriy koeffitsientli
ShturmLiuvill operatorlarining kvadratik dastasi uchun qo`yilgan teskari spektral
masalaga oid kerakli ma’lumotlarni keltramiz
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