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КРАЕВАЯ ЗАДАЧА ДЛЯ УРАВНЕНИЯ ТРЕТЬЕГО ПОРЯДКА

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Scientific Bulletin of Namangan State University

Scientific Bulletin of Namangan State University

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ARTICLE ANNOTATION

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In this paper, we obtain sufficient conditions for the uniqueness and existence of a solution to one boundary-value problem in a rectangular domain for a degenerate third-order equation with multiple characteristics. The solution was obtained in the form of a series of eigenfunctions.

AUTHORS

B.Irgashev

Tags

# функция Бесселя# degenerate equation# Вырождающее уравнение# интегралы энергии# метод Фурье# функция Грина# неравенство Бесселя# ряд# Бузилувчан тенглама# энергия интеграллари# Фурье усули# Грин функцияси# Бессел функцияси# Бессел тенгсизлиги# қатор# energy integrals# Fourier method# Green function# Bessel function# Bessel inequality# series

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Article Identifiers

ROI:

https://eroi.uz/11.0031/A0121-0067

DOI:

Not Available

References

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Diesperov V.N.O funksii Grina linearizovannogo vyazkogo transzvukovogo uravneniya // Jurnal vichisl.matem.i matem.fiziki.–Moskva,1972–T.12.–№ 5.–S. 1265- 1269.

Diesperov V.N,Lomakin L.A.Ob odnoy kraevoy zadache dlya linearizovannogo osesimmetricheskogo VT-uravneniya // Jurnal vichisl.matem.i matem.fiziki– Moskva,1974.–T.14.–№ 5.–S.1244-1260.

Apakov YU.P.,Irgashev B.YU.Kraevaya zadacha dlya virojdayushegosya uravneniya visokogo nechetnogo poryadka // Ukr.mat.jurn.-Kiev,2014.-T.66.-№10.-S.1318-1331.

Beytmen G.,Erdeyi A.Visshie transsendentnie funksii.Funksii Besselya,funksii parabolicheskogo silindra,ortogonalnie mnogochleni.–M.:Nauka, 1974.–296 s.