TO’LQIN TARQALISH TENGLAMASI UCHUN UMUMLASHGAN KOSHI MASALASINI YECHISH

Аннотация

ushbu maqolada to’lqin tarqalish tenglamasi uchun umumlashgan Koshi masalasini yechish qaralgan. Maqolada boshlang’ich shartlar asosida Grin funksiyasidan foydalanib umumiy shakldagi yechimlar topiladi va bir qancha misollar orqali formulalarning amaliyotda qo’llanilishi ko’rsatiladi. Annotation: This article discusses the solution to the problem of expansion for wave propagation analysis. Using the Green's function under the initial conditions, solutions describing wave propagation are constructed, and through several examples, the practical application of theoretical data and formulas is demonstrated. Kalit so’zlar: umumlashgan koshi masalasi; Grin funksiyasi; kechikuvchi potensial; oddiy va qo’sh qatlam potensiallari; Lebeg teoremasi. Keywords: expansion for the Cauchy problem; Green's function; outgoing potential; applicative and multilayer potentials; Lebegue's theorem.