najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2018-9-3-307-318najo-771Research ArticleMATHEMATICSМАТЕМАТИКАOn a problem for an elliptic type equation of the second kind with a conormal and integral conditionIslomovB. I.

100174, Tashkent

islomovbozor@yandex.ruAbdullaevA. A.

Str. Kari Niyaziy, 39, 100000, Tashkent

akmal09.07.85@mail.ruNational University of Uzbekistan named after Mirzo Ulugbek, Differential equations and Mathematical physicsUzbekistanTashkent Institute of Irrigation and Agricultural Mechanization Engineers, Higher mathematicsUzbekistan20181408202593307318Copyright © Islomov B.I., Abdullaev A.A., 20252025Islomov B.I., Abdullaev A.A.Islomov B.I., Abdullaev A.A.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/771

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.

elliptic type equation of the second kindboundary value problemsboundary problems with Poincar´e conditionintegral equationReferencesVostrova L.K. Mixed boundary value problem for the general Lavrentyev–Bitsadze equation. Scientific notes Kuibyshev State pedagogical college, 1959, 29, P. 45–66.Vostrova L.K. Mixed boundary value problem for the general Lavrentyev–Bitsadze equation. Scientific notes Kuibyshev State pedagogical college, 1959, 29, P. 45–66.Melentyev B.V. On a boundary problem for the mixed type equations. Soviet Math. Doklady, 1964, 154 (6), P. 1262–1265.Melentyev B.V. On a boundary problem for the mixed type equations. Soviet Math. Doklady, 1964, 154 (6), P. 1262–1265.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. 103–114Salakhitdinov 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. 103–114Salakhitdinov 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).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).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.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.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.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.Salokhitdinov M.S., Islomov B.I. The equations of the mixed type with two lines of degeneration. Tashkent, “MUMTOZ SO’Z”, 2009, 264 p.Salokhitdinov M.S., Islomov B.I. The equations of the mixed type with two lines of degeneration. Tashkent, “MUMTOZ SO’Z”, 2009, 264 p.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.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.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.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.Tikhonov A.N., Samarskii A.A. Equations of Mathematical Physics. Nauka, Moscow, 1977, 742 p.Tikhonov A.N., Samarskii A.A. Equations of Mathematical Physics. Nauka, Moscow, 1977, 742 p.Smirnov M.M. The mixed type equations. Moscow, 1985, 304 p.Smirnov M.M. The mixed type equations. Moscow, 1985, 304 p.Muskhelishvili N.I. Singular integral equations. Nauka, 1968, 512 p.Muskhelishvili N.I. Singular integral equations. Nauka, 1968, 512 p.Mikhlin S.G. On the integral equations of F. Tricomi. Soviet Math. Doklady, 1948, 59 (6), P. 1053–1056.Mikhlin S.G. On the integral equations of F. Tricomi. Soviet Math. Doklady, 1948, 59 (6), P. 1053–1056.

The authors declare that there are no conflicts of interest present.