Normalized system of functions with respect to the Laplace operator and its applications VV Karachik Journal of Mathematical Analysis and Applications 287 (2), 577-592, 2003 | 80 | 2003 |
A problem for the polyharmonic equation in the sphere VV Karachik Siberian Mathematical Journal 32 (5), 767-774, 1991 | 72* | 1991 |
ПОСТРОЕНИЕ ПОЛИНОМИАЛЬНЫХ РЕШЕНИЙ ЗАДАЧИ ДИРИХЛЕ С ПОМОЩЬЮ ФОРМУЛЫ АЛЬМАНСИ ВВ Карачик Известия Челябинского научного центра, 13-18, 2009 | 67* | 2009 |
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball VV Karachik Journal of Applied and Industrial Mathematics 8 (1), 63, 2014 | 60* | 2014 |
Математический анализ ВВ Карачик, ДА Комиссарова Издательский центр ЮУрГУ 1, 87, 2014 | 59* | 2014 |
On one set of orthogonal harmonic polynomials V Karachik Proceedings of the American Mathematical Society 126 (12), 3513-3519, 1998 | 59 | 1998 |
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation VV Karachik Differential Equations 50 (11), 1449-1456, 2014 | 57* | 2014 |
Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball VV Karachik, BK Turmetov, A Bekaeva International Journal of Pure and Applied Mathematics 81 (3), 487-495, 2012 | 56 | 2012 |
On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation VV Karachik, NA Antropova Differential Equations 46, 387-399, 2010 | 54* | 2010 |
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball VV Karachik, NA Antropova Differential Equations 49 (2), 251-256, 2013 | 51* | 2013 |
Construction of polynomial solutions to some boundary value problems for Poisson’s equation VV Karachik Computational Mathematics and Mathematical Physics 51, 1567-1587, 2011 | 51 | 2011 |
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball VV Karachik, MA Sadybekov, BT Torebek Electronic Journal of Differential Equations 2015 (244), 1-9, 2015 | 45 | 2015 |
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball VV Karachik Differential Equations 51 (8), 1033, 2015 | 45* | 2015 |
On some special polynomials V Karachik Proceedings of the American Mathematical Society 132 (4), 1049-1058, 2004 | 44 | 2004 |
On the arithmetic triangle arising from the solvability conditions for the Neumann problem VV Karachik Mathematical Notes 96 (1), 217-227, 2014 | 43* | 2014 |
Построение полиномиальных решений некоторых краевых задач для уравнения Пуассона ВВ Карачик Журнал вычислительной математики и математической физики 51 (9), 1674-1694, 2011 | 42* | 2011 |
On the solvability of the main boundary value problems for a nonlocal Poisson equation V KARACHIK, A SARSENBI, B TURMETOV Turkish journal of mathematics 43 (3), 1604-1625, 2019 | 41 | 2019 |
On the mean value property for polyharmonic functions in the ball VV Karachik Siberian Advances in Mathematics 24, 169-182, 2014 | 40* | 2014 |
Polynomial solutions to systems of partial differential equations with constant coefficients VV Karachik Yokohama Mathematical Journal 42 (2), 121-142, 2000 | 39 | 2000 |
On some integro-differential operators in the class of harmonic functions and their applications VV Karachik, BK Turmetov, BT Torebek Siberian Advances in Mathematics 22, 115-134, 2012 | 37 | 2012 |