UCH O‘LCHOVLI FAZODA ISSIQLIK TARQALISH TENGLAMASI UCHUN IKKI NUQTALI TESKARI MASALANING KORREKLIGI HAQIDA
V.I.Romanovskiy nomidagi Matematika instituti Fizika-matematika fanlari doktori S.Z.Djamalov tаqrizi ostidа
Keywords:
Parallelepiped, funksiya, differensial tenglamalar, matritsa, sohada, hosila.Abstract
Ushbu maqolada uch o‘lchovli fazoda issiqlik tarqalishi tenglamasi uchun nolakal chegaraviy to‘g‘ri va teskari masalalarning umumlashgan yechimini Sobolev fazosida mavjud va yagonaligi o‘rganilgan.
References
Alimov NA. (1983) On a nonlocal boundary value problem for a non-classical equation. The theory and methods for solving ill-posed problems and their applications. Novosibirsk, 237-239. 2. Berezinsky YM. (1965) Expansion in eigenfunctions of selfadjoint operators. Kyev. 3. Berdyshev AS. (1993) Nonlocal boundary value problems for equations of mixed type in a deviation from the characteristics. Differensial.Uravn, 29(12):2118-2125. 4. Bitsadze AV, Samarskii AA. (1969) On some simple generalizations of linear elliptic boundary value problems. DAN SSSR, 185(4):793-740.
Vragov VN. (1983) Boundary problems for non-classical equations of mathematical physics. Novosibirsk, 216pp. 6. Glazatov SN. (1985) Nonlocal boundary problems for mixed type equations in a rectangle. Siberian Math. J., 26(6):162-164.
Djamalov SZ. (1989) On correctness of nonlocal boundary problems for many-dimensional mixed type equation. Application of method of functional analysis to the non-classical equations of mathematical physics. Novosibirsk, 63-70.
Yogorov IE. (1995) On smoothness of a solution to a nonlocal boundary value problem for an operator-differential equation with variable time direction. Mat. Zametki YaGU, 2(1):98-104.



