PARABOLIK, GIPERBOLIK VA ELLIPTIK TENGLAMALAR UCHUN TESKARI MASALA YECHIMINI QURISH

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  • G‘ulomjonova Sakinabonu Rashidjon qizi ##default.groups.name.author##

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Kalit so‘zlar: Teskari masala, nokorrekt masala, parabolik tenglama, giperbolik tenglama, elliptik tenglama, regulizatsiya, Fredgolm operatori, tiklash masalasi.

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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.

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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.

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2025-06-13

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##issue.vol## 78 ##issue.no## 3 (2025): JOURNAL OF NEW CENTURY INNOVATIONS|Volume-78|Issue-3

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Articles

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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