UCH O’LCHAMLI O‘ZGARUVCHAN KOEFFITSIYENTLI INTEGRO-DIFFERENSIAL ISSIQLIK TARQALISH TENGLAMASI UCHUN QO‘YILGAN TESKARI MASALANI YECHISH

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Ergasheva Nazokat Shokirovna

Abstract

Ushbu ishda uch o’lchamli o‘zgaruvchan koeffitsiyentli integro-differensial issiqlik tarqalish tenglamasi uchun Koshi masala qaraldi. Yangi o’zgaruvchi kiritib, ba’zi almashtirishlardan so’ng o’zgarmas koeffitsiyentli integro-differensial issiqlik tarqalish tenglamasi olindi.  O’zgarmas koeffitsiyentli integro-differensial issiqlik tarqalish tenglamasi uchun Koshi masalasi qo’yildi. Masalaning yechimi mavjudligi va yagonaligi uchun asosiy teorema keltirildi.

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How to Cite
Ergasheva Nazokat Shokirovna. (2022). UCH O’LCHAMLI O‘ZGARUVCHAN KOEFFITSIYENTLI INTEGRO-DIFFERENSIAL ISSIQLIK TARQALISH TENGLAMASI UCHUN QO‘YILGAN TESKARI MASALANI YECHISH. Yosh Tadqiqotchi Jurnali, 1(3), 3–11. Retrieved from https://2ndsun.uz/index.php/yt/article/view/139
Section
Maqolalar

References

Zhumaev Zh.Zh., 2020. Multidimensional inverse problem of determining the kernel of the integro-differential heat equation in half space // Uzbek Mathematical Journal, , no 3, pp. 163-174.

Zhumaev Zh.Zh., 2020. Kernel identification problem from an one-dimensional integro-differential heat equation in a half-bounded domain // Scientific reports of Bukhara state university, no 4, pp. 74-82.

Дурдиев Д.К., Жумаев Ж.Ж. 2019. Задача определения ядра в многомерном интегро-дифференциальном уравнении теплопроводности // Научный Вестник Бухарского Государственного Университета, №1 , с. 10-18.

Janno J., Lorenzi A. 2008. Recovering memory kernels in parabolic transmission problems// J. Inverse and Ill posed Probl. vol. 16. pp. 239-265.

Janno J., Wolfersdorf L.V. 1996. Inverse problems for identification of memory kernels in heat flow, Ill-Posed Problems, vol. 4. no. 1. pp. 39-66.

Ладыженская О.А., Солонников В.А., Уральцева Н.Н., Линейные и квазилинейные уравнения параболического типа. // Москва: Наука, 1967;

Килбас А.А. 2005. Интегральные уравнения: курс лекций// Минск: БГУ.

Lorenzi A., Paparoni E. 1992. Direct and inverse problems in the theory of materials with memory // Rend. Semin. Math. Univ. Padova, vol. 87 . pp. 105-138.

Hasanov A.B. 2019. Oddiy differensial tenglamalar nazariyasiga kirish // Samarqand.