Actual directions of scientific researches of the XXI century: theory and practice Actual directions of scientific researches of the XXI century: theory and practice Актуальные направления научных исследований XXI века: теория и практика 2308-8877 3897 10.12737/6323 Секция: «Качественная теория динамических систем» Секция: «Качественная теория динамических систем» THE CAUCHY PROBLEM FOR SYSTEMS OF ELLIPTIC TYPE EQUATIONS OF THE FIRST ORDER The cauchy problem for systems of elliptic type equations of the first order Juraev D. A. Juraev D. A. 11 11 2014 11 11 2014 2 5 9 11 https://zh-szf.ru/en/nauka/article/3897/view

The paper considers the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorable Helmholtz operator in three-dimensional unbounded domain.

The paper considers the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorable Helmholtz operator in three-dimensional unbounded domain.

Cauchy problem fundamental solution regular solution.

СЕКЦИЯ: «КАЧЕСТВЕННАЯ ТЕОРИЯ ДИНАМИЧЕСКИХ СИСТЕМ» UDC: 517. 946THE CAUCHY PROBLEM FOR SYSTEMS OF ELLIPTIC TYPE EQUATIONS OF THE FIRST ORDERЗАДАЧА КОШИ ДЛЯ СИСТЕМЫ УРАВНЕНИЙ ЭЛЛИПТИЧЕСКОГО ТИПАПЕРВОГО ПОРЯДКА Juraev D.A., senior teacherKarshi State University st. Kuchabog 17, Karshi city, Uzbekistan davron-1222@mail.ruDOI: 10.12737/6323 Summary: The paper considers the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorable Helmholtz operator in three-dimensional unbounded domain. Аннотация: В работе рассмотрена задача Коши для системы уравнений эллиптического типа первого порядка с постоянными коэффициентами факторизуемым оператором Гельмгольца в трехмерной неограниченной области.Keywords: Cauchy problem, fundamental solution, regular solution. Ключевые слова: Задача Коши, фундаментальное решение, регулярное решение.

Tikhonov A.N. On the solution of ill-posed problems and the method of regularization // Reports of the Academy of Sciences of USSR, Vol. 151, №. 3, 1963, Pp. 501-504. Tikhonov A.N. On the solution of ill-posed problems and the method of regularization. Reports of the Academy of Sciences of USSR, Vol. 151, №. 3, 1963, Pp. 501-504. Juraev D.A. The integral formula for systems of elliptic type equations // II International scientific-practical conference of students and graduate students´ mathematics and its applications in modern science and practice, Kursk, April 5-6, 2012, Pp. 33-38. Juraev D.A. The integral formula for systems of elliptic type equations. II International scientific-practical conference of students and graduate students´ mathematics and its applications in modern science and practice, Kursk, April 5-6, 2012, Pp. 33-38.