On a problem for an elliptic type equation of the second kind with a conormal and integral condition
https://doi.org/10.17586/2220-8054-2018-9-3-307-318
Аннотация
In this paper, we prove the uniqueness of a solution of the boundary value problem for an elliptic type equation of the second kind with the conormal and integral condition.
Об авторах
B. Islomov
National University of Uzbekistan named after Mirzo Ulugbek, Differential equations and Mathematical physics
Узбекистан
Узбекистан
A. Abdullaev
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Higher mathematics
Узбекистан
Узбекистан
Список литературы
1. Vostrova L.K. Mixed boundary value problem for the general Lavrentyev–Bitsadze equation. Scientific notes Kuibyshev State pedagogical college, 1959, 29, P. 45–66.
2. Melentyev B.V. On a boundary problem for the mixed type equations. Soviet Math. Doklady, 1964, 154 (6), P. 1262–1265.
3. Salakhitdinov M.S., Kadyrov Z. A problem with a normal derivative for an equation of mixed type with nonsmooth lines of degeneracy. Differ. Uravn., 1986, 22 (1), P. 103–114
4. Salakhitdinov M.S., Mingziyaev B. A boundary value problem with the conormal derivative for the mixed type equation with two lines of degeneration. In Differential equations and their applications, Tashkent, 1979, P. 3–14 (in Russian).
5. Islomov B.I. Gellerstedt’s boundary value problem for the mixed type equation of first kind. In Boundary value problems for the nonclassical equations of mathematical physics, Tashkent, 1986, P. 121–134.
6. Usanatashvili M.A. A problem with an inclined fractional derivative for an equation of mixed type. Soobsheniye AN GSSR, 1978, 90 (34), P. 10–16.
7. Salokhitdinov M.S., Islomov B.I. The equations of the mixed type with two lines of degeneration. Tashkent, “MUMTOZ SO’Z”, 2009, 264 p.
8. Salokhitdinov M.S., Islomov B.I. Nonlocal boundary value problem of a conormal derivative for the mixed type equation with two internal lines and various orders of degeneration. News of higher education institutions. Mathematics, 2011, 1, P. 49–58.
9. Islomov H. A problem with a conormal derivative for the elliptic type equation with one line of degeneration. Uzbek mathematical journal, 2012, 1, P. 47–60.
10. Tikhonov A.N., Samarskii A.A. Equations of Mathematical Physics. Nauka, Moscow, 1977, 742 p.
11. Smirnov M.M. The mixed type equations. Moscow, 1985, 304 p.
12. Muskhelishvili N.I. Singular integral equations. Nauka, 1968, 512 p.
13. Mikhlin S.G. On the integral equations of F. Tricomi. Soviet Math. Doklady, 1948, 59 (6), P. 1053–1056.
Рецензия
Для цитирования:
, . Наносистемы: физика, химия, математика. 2018;9(3):307-318. https://doi.org/10.17586/2220-8054-2018-9-3-307-318
For citation:
Islomov B.I., Abdullaev A.A. On a problem for an elliptic type equation of the second kind with a conormal and integral condition. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(3):307-318. https://doi.org/10.17586/2220-8054-2018-9-3-307-318
Просмотров:
14
Послать статью по эл. почте 