INTEGRATION OF A SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY THE OPERATOR METHOD

Authors

  • Hasan Obilov Samarqand Davlat Universiteti
  • Ya Muxtarov

Keywords:

Kalit soʻzlar: Operator, simvolik, chiziqli, bir jinsli, bir jinsli boʻlmagan, differentsial tenglamalar sistemasi, integrallash, umumiy yechim.

Abstract

Abstract. The use of the operator (symbolic) method allows us to simplify the proof of a number of theorems on the properties of solutions of linear homogeneous and non-homogeneous differential equations with constant coefficients. The article shows a method for solving a system of linear homogeneous and non-homogeneous differential equations with constant coefficients using the properties of the inverse operator.

References

Розенблюм А.А. Интегрирование дифференциальных уравнений операторным методом. Учебное пособие. Изд. ГГУ, Горький, 1980. 59 с.

Малышев Ю.В. Линейные дифференциальные уравнения // Известия РАЕН. Дифференциальные уравнения. 1999. № 2. с. 59-66.

Малышев Ю.В., Атаманов П.С. Интегрирование дифференциальных уравнений операторным методом. Чебоксары: Изд-во Чуваш. ун-та, 2011. 176 с.

Muxtarov Y., Oʻroqov N.O. Chiziqli differensial tenglamalarni yechishda operator usulini qoʻllash. Buxoro DU. Ilmiy Axboroti 2023, № 4, 33-36 b.

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Published

2024-12-26

How to Cite

Obilov, H., & Muxtarov, Y. (2024). INTEGRATION OF A SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS BY THE OPERATOR METHOD. The Descendants of Al-Fargani, (4), 184–188. Retrieved from https://al-fargoniy.uz/index.php/journal/article/view/718

Issue

No. 4 (2024):

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Copyright (c) 2024 Hasan Obilov, Ya Muxtarov

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This work is licensed under a Creative Commons Attribution 4.0 International License.