On a non-correct problem for a biharmonic equation in a semicircle

Мадибрагимова, Ирода, Tolipov, Nodirjon

Al-Farg'oniy avlodlari · 2024-yil

Annotatsiya

Annotation: This article addresses a non-correct problem for a biharmonic equation within a semicircular domain. It explores the conditional correctness of the problem and establishes stability through a rigorous theorem. The study employs Fourier series and regularization methods, demonstrating the existence of approximate solutions despite the lack of continuous dependence on initial data. By utilizing Hilbert space concepts and Fredholm equations, the article proposes a framework for constructing reliable approximations. This work contributes to understanding complex mathematical physics problems, specifically those involving biharmonic equations in unconventional geometries.

Maqola ma’lumotlari
MualliflarМадибрагимова, Ирода, Tolipov, Nodirjon
JurnalAl-Farg'oniy avlodlari
NashriyotТАТУ Фарғона филиали
ISSN2181-4252
Nashr sanasi2024-12-27
Son4
Betlar147-151
TilIngliz
Ilmiy sohaTexnika
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Бигармоническое уравнение, полуокружность, некорректная задача, приближенное решение, оператор Лапласа, условная корректность, теорема устойчивости, ряды Фурье, Biharmonic equation, semicircle, non-correct problem, approximate solution, Laplace operator, conditional correctness, stability theorem, Fourier series, regularization method, Hilbert space, Fredholm equation., Kalit so‘zlar: Bigarmonik tenglama, yarim doira, nokorrekt masala masala, taqribiy yechim, Laplas operatori, shartli korrektlik, turg‘unlik teoremasi, Furye qatori, regulizatsiya usuli, Gilbert fazosi, Fredgolm tenglamasi., Bigarmonik tenglama, yarim doira, nokorrekt masala masala, taqribiy yechim, Laplas operatori, shartli korrektlik, turg‘unlik teoremasi, Furye qatori, regulizatsiya usuli, Gilbert fazosi, Fredgolm tenglamasi.

Ilmiy soha

Texnika

Iqtibos keltirish

APAМадибрагимова, Ирода, & Tolipov, Nodirjon (2024). ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE. Al-Farg'oniy avlodlari, (4), 147-151. https://al-fargoniy.uz/index.php/journal/article/view/580
GOST (OAK)Мадибрагимова, Ирода, Tolipov, Nodirjon ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE // Al-Farg'oniy avlodlari. – 2024. – № 4. – P. 147-151.
MLAМадибрагимова, Ирода, and Tolipov, Nodirjon. “ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE.” Al-Farg'oniy avlodlari, (4), 147-151, 2024. https://al-fargoniy.uz/index.php/journal/article/view/580
ChicagoМадибрагимова, Ирода, and Tolipov, Nodirjon. “ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE.” Al-Farg'oniy avlodlari, (4), 147-151 (2024). https://al-fargoniy.uz/index.php/journal/article/view/580
HarvardМадибрагимова, Ирода, and Tolipov, Nodirjon (2024) ‘ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE’, Al-Farg'oniy avlodlari, (4), 147-151. https://al-fargoniy.uz/index.php/journal/article/view/580
BibTeX
@article{article2024,
  title = {ON A NON-CORRECT PROBLEM FOR A BIHARMONIC EQUATION IN A SEMICIRCLE},
  author = {Мадибрагимова, Ирода and Tolipov, Nodirjon},
  journal = {Al-Farg'oniy avlodlari},
  year = {2024},
  number = {4},
  pages = {147-151},
  url = {https://al-fargoniy.uz/index.php/journal/article/view/580}
}

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