PARABOLIK, GIPERBOLIK VA ELLIPTIK TENGLAMALAR UCHUN TESKARI MASALA YECHIMINI QURISH
Ключевые слова:
Kalit so‘zlar: Teskari masala, nokorrekt masala, parabolik tenglama, giperbolik tenglama, elliptik tenglama, regulizatsiya, Fredgolm operatori, tiklash masalasi.Аннотация
Annotatsiya: Mazkur maqolada parabolik, giperbolik va elliptik turdagi differensial tenglamalar uchun teskari masalalar ko‘rib chiqiladi. Teskari masalalarning nokorrektligi, ularning qo‘llanish sohasi va fizik modellar asosida yuzaga kelishi muhokama qilinadi. Har bir tenglama turiga tegishli teskari masalalar uchun yechimni tiklash usullari bayon qilinadi. Tiklash masalalarining nokorrekt xususiyatlari, shuningdek, ularni yechishdagi asosiy yondashuvlar, xususan, regulizatsiya usullari yoritiladi.Библиографические ссылки
1. Tikhonov A.N., Arsenin V.Ya. "Solution of Ill-Posed Problems", Winston, 1977.
2. Lavrent'ev M.M., Romanov V.G., Shishatskii S.P. "Ill-posed Problems of Mathematical Physics and Analysis", AMS, 1986.
3. Isakov V. "Inverse Problems for Partial Differential Equations", Springer, 2006.
4. Kabanikhin S.I. "Definitions and examples of inverse and ill-posed problems", Journal of Inverse and Ill-posed Problems, 2011.
5. John F. "Partial Differential Equations", Springer, 1982.
6. Özisik M.N., Orlande H.R.B. "Inverse Heat Transfer: Fundamentals and Applications", Taylor & Francis, 2000.
Опубликован
2025-06-13
Выпуск
Раздел
Articles
Как цитировать
G‘ulomjonova Sakinabonu Rashidjon qizi. (2025). PARABOLIK, GIPERBOLIK VA ELLIPTIK TENGLAMALAR UCHUN TESKARI MASALA YECHIMINI QURISH. JOURNAL OF NEW CENTURY INNOVATIONS, 78(3), 203-206. https://scientific-jl.com/new/article/view/20102
