METHODS OF SETTING AND SOLVING MIXED AND BOUNDARY PROBLEMS FOR HYPERBOLIC TYPE EQUATIONS

Authors

  • Elvira Erkin kizi Shakayeva Termiz State Pedagogical Institute, teacher of the "Mathematics and Teaching Methodology" department

Keywords:

initial condition, mixed problem, boundary value problem, general solution, eigenvalue, eigenfunction, Sturum-Liouville theorem and problem, Fourier method, Fourier coefficients.

Abstract

In this article, the methods of solving these mixed  and boundary  problems  are described.   The  Sturum-Liouville  problem  is  described and the solution of such problems  by   the  Fourier  method  is shown. The mixed problem put into the hyperbolic  type equation  was solved by the Fourier  method.

References

Бицадзе.А.В. Уравнения смешанного типа. М.:Изд-во АН СССР,1959. 164 c.

Durdiyev.D.Q, Merajova. SH.B, Jumoyev.B.E. A collection of examples and problems from differential equations with particular derivatives. Study guide. -Tashkent: 2020. 37 p.

Oppokov.Y.P, Turgunov.N, Gafurov.I.A. A collection of examples and problems from ordinary differential equations. -Tashkent: "Voris-nashriyot", 2009. 131 p.

Salahiddinov. M.S., A.Q. Orinov. "Degenerative equations of hyperbolic and elliptic type".-Tashkent: "Uzbekistan", 2006. 24 p.

Salahiddinov. M.S. Mathematical Physics Equations.-Tashkent: "Uzbekistan", 2002. 351 p.

Kh.M.Fayzullaevna The literary translation of the passage from A.Mukhtar's novel "Platan".Xorazm Ma'mun Akademiyasi axborotnomasi 1 (3), 37-40.

Kh.M.Fayzullaevna Verbalization of the Lingua-Cultural Concept "Happiness" by Means of Phraseological Units, Sayings and Proverbs in English International Journal of Trend in Scientific Research and Development.

Kh.M.Fayzullaevna Principles of presenting the material on voice forms. Science and Education 2 (1), 304-308.

Salahiddinov.M.S, Islamov.B.I. A collection of problems from the science of mathematical physics equations. -Tashkent: "Classic word", 2010.100 p.

Soatov.Y.U. Higher Mathematics. -Tashkent: "Teacher", 1998.74 p.

Khurramov.Sh.R. Higher mathematics problem set control assignments.

-Tashkent: 2015. 221 p.

Zikirov.O.S. Mathematical Physics Equations. -Tashkent: 2017. 96 p.

Juraev T., Abdinazarov S. Mathematical physics equations.-Toshken:2003.p.332.

Downloads

Published

2023-09-30

How to Cite

Elvira Erkin kizi Shakayeva. (2023). METHODS OF SETTING AND SOLVING MIXED AND BOUNDARY PROBLEMS FOR HYPERBOLIC TYPE EQUATIONS. INTERNATIONAL JOURNAL OF SOCIAL SCIENCE & INTERDISCIPLINARY RESEARCH ISSN: 2277-3630 Impact Factor: 8.036, 12(09), 34–40. Retrieved from https://www.gejournal.net/index.php/IJSSIR/article/view/1934