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Karachik, Valeriĭ Valentinovich

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Author ID: karachik.valery-v Recent zbMATH articles by "Karachik, Valeriĭ Valentinovich"
Published as: Karachik, V. V.; Karachik, Valery V.; Karachik, Valery; Karachik, Valeriy Valentinovich; Karachik, Valeriĭ Valentinovich; Karachik, Valery Valentinovich; Karachik, Valeriĭ V.
Homepage: http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=28783
External Links: MGP · ORCID · ResearchGate · Math-Net.Ru
Documents Indexed: 129 Publications since 1981, including 10 Books
Reviewing Activity: 248 Reviews
Biographic References: 1 Publication
Co-Authors: 38 Co-Authors with 49 Joint Publications
468 Co-Co-Authors
all top 5

Serials

28 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki
13 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
7 Differential Equations
6 Matematicheskie Trudy
5 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
4 Mathematical Notes
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Doklady Akademii Nauk UzSSR
3 Proceedings of the American Mathematical Society
3 Computational Mathematics and Mathematical Physics
3 Russian Mathematics
3 Journal of Mathematical Sciences (New York)
3 Complex Variables and Elliptic Equations
3
2 Differentsial’nye Uravneniya
2 Differential Equations
2 Electronic Journal of Differential Equations (EJDE)
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Czechoslovak Mathematical Journal
1 The Fibonacci Quarterly
1 Izvestiya Akademii Nauk UzSSR. Seriya Fiziko-Matematicheskikh Nauk
1 Mathematica Slovaca
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Yokohama Mathematical Journal
1 Turkish Journal of Mathematics
1 Filomat
1 Novi Sad Journal of Mathematics
1 Problemy Informatiki i Ènergetiki
1 Mathematical Modelling and Analysis
1 International Journal of Pure and Applied Mathematics
1 Matematicheskiĭ Zhurnal
1 Advances in Pure and Applied Mathematics
1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Journal of Siberian Federal University. Mathematics & Physics

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 423 times in 97 Documents Cited by Year
Construction of polynomial solutions to some boundary value problems for Poisson’s equation. Zbl 1274.31002
Karachik, V. V.
24
2011
Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009
Karachik, V. V.
22
2003
On one set of orthogonal harmonic polynomials. Zbl 0916.33007
Karachik, V. V.
19
1998
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078
Karachik, V. V.
19
2013
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070
Karachik, V. V.; Antropova, N. A.
17
2013
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032
Karachik, V. V.
17
2014
On an expansion of Almansi type. Zbl 1152.35351
Karachik, V. V.
16
2008
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118
Karachik, V. V.
16
2015
Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093
Karachik, V. V.
15
2014
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball. Zbl 1333.35008
Karachik, Valery V.; Sadybekov, Makhmud A.; Torebek, Berikbol T.
14
2015
Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014
Karachik, Valery V.
12
2000
A Neumann-type problem for the biharmonic equation. Zbl 1399.35186
Karachik, V. V.
12
2016
Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball. Zbl 1263.35088
Karachik, Valery; Turmetov, Batirkhan; Bekaeva, Aygerim
12
2012
A problem for the polyharmonic equation in the sphere. Zbl 0777.31006
Karachik, V. V.
11
1991
On one representation of analytic functions by harmonic functions. Zbl 1249.31005
Karachik, V. V.
11
2007
On a problem for the polyharmonic equation in a ball. Zbl 0747.31007
Karachik, V. V.
11
1991
On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007
Karachik, V. V.; Antropova, N. A.
11
2010
On some special polynomials. Zbl 1058.33009
Karachik, V. V.
10
2004
On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001
Karachik, V. V.; Torebek, B. T.
10
2017
On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010
Karachik, V. V.
10
2013
Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006
Karachik, V. V.
9
2018
On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017
Karachik, V. V.
8
2014
Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004
Karachik, V. V.
8
2017
On some integro-differential operators in the class of harmonic functions and their applications. Zbl 1340.35357
Karachik, V. V.; Turmetov, B. Kh.; Torebek, B. T.
8
2011
On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017
Karachik, V. V.; Antropova, N. A.
7
2012
On a problem for the harmonic equation. Zbl 0739.31004
Karachik, V. V.; Turmetov, B. Kh.
7
1990
Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084
Karachik, V. V.
6
2014
Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074
Karachik, Valery; Turmetov, Batirkhan
6
2017
Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator. Zbl 1327.35395
Bekaeva, A. E.; Karachik, V. V.; Turmetov, B. Kh.
5
2014
On the solvability of the main boundary value problems for a nonlocal Poisson equation. Zbl 1421.35058
Karachik, Valery V.; Sarsenbi, Abdizhahan M.; Turmetov, Batirkhan K.
5
2019
\(p\)-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024
Karachik, Valery V.
4
1996
Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027
Karachik, V. V.
4
2012
On solvability of the boundary value problem for the Helmholtz equation with higher order normal derivatives on the boundary. Zbl 0826.35031
Karachik, V. V.
4
1992
Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001
Karachik, Valery Valentinovich
4
2017
On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015
Karachik, V. V.; Torebek, B. T.
4
2016
The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005
Karachik, V. V.
4
2019
On some special polynomials and functions. Zbl 1330.33004
Karachik, V. V.
3
2013
Green’s function of Dirichlet problem for biharmonic equation in the ball. Zbl 1421.31015
Karachik, Valery
3
2019
On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093
Karachik, Valery V.; Turmetov, Batirkhan K.
3
2019
On the Green’s function for the third boundary value problem. Zbl 1438.35117
Karachik, V. V.; Turmetov, B. Kh.
3
2018
The Green function of the Dirichlet problem for the triharmonic equation in the ball. Zbl 1442.35084
Karachik, V. V.
3
2020
Class of Neumann-type problems for the polyharmonic equation in a ball. Zbl 1452.31014
Karachik, V. V.
3
2020
On solvability of some nonlocal boundary value problems for biharmonic equation. Zbl 07289645
Karachik, Valery; Turmetov, Batirkhan
3
2020
Solvability of one nonlocal Dirichlet problem for the Poisson equation. Zbl 1462.35155
Karachik, Valery; Turmetov, Batirkhan
3
2020
A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037
Karachik, V. V.
2
1999
Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020
Karachik, V. V.
2
1997
Distribution of Eulerian and Stirling numbers \(\bmod p\) in arithmetical triangles. Zbl 0949.11014
Bondarenko, B. A.; Karachik, V. V.; Tulyaganov, R. B.
2
1996
Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003
Karachik, V. V.
2
2018
Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086
Karachik, V. V.
2
2011
Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation. Zbl 1259.35082
Karachik, V. V.
1
2012
On polynomial solutions of systems of linear differential equations. Zbl 0686.35032
Karachik, V. V.
1
1987
Method of normalized systems of functions. (Метод нормированных систем функций.) Zbl 1297.35005
Karachik, Valery V.
1
2014
On an arithmetical triangle. Zbl 1302.35158
Karachik, V. V.
1
2013
Polynomial solutions to Dirichlet boundary value problem for the 3-harmonic equation in a ball. Zbl 07324920
Karachik, Valeriĭ V.
1
2012
On solvability of some nonlocal boundary value problems for polyharmonic equation. Zbl 07401945
Karachik, V. V.; Turmetov, B. Kh.
1
2019
On solvability of some boundary value problems for a biharmonic equation with periodic conditions. Zbl 07461940
Turmetov, Batirkhan; Karachik, Valery
1
2018
The Green function of the Dirichlet problem for the triharmonic equation in the ball. Zbl 1442.35084
Karachik, V. V.
3
2020
Class of Neumann-type problems for the polyharmonic equation in a ball. Zbl 1452.31014
Karachik, V. V.
3
2020
On solvability of some nonlocal boundary value problems for biharmonic equation. Zbl 07289645
Karachik, Valery; Turmetov, Batirkhan
3
2020
Solvability of one nonlocal Dirichlet problem for the Poisson equation. Zbl 1462.35155
Karachik, Valery; Turmetov, Batirkhan
3
2020
On the solvability of the main boundary value problems for a nonlocal Poisson equation. Zbl 1421.35058
Karachik, Valery V.; Sarsenbi, Abdizhahan M.; Turmetov, Batirkhan K.
5
2019
The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005
Karachik, V. V.
4
2019
Green’s function of Dirichlet problem for biharmonic equation in the ball. Zbl 1421.31015
Karachik, Valery
3
2019
On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093
Karachik, Valery V.; Turmetov, Batirkhan K.
3
2019
On solvability of some nonlocal boundary value problems for polyharmonic equation. Zbl 07401945
Karachik, V. V.; Turmetov, B. Kh.
1
2019
Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006
Karachik, V. V.
9
2018
On the Green’s function for the third boundary value problem. Zbl 1438.35117
Karachik, V. V.; Turmetov, B. Kh.
3
2018
Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003
Karachik, V. V.
2
2018
On solvability of some boundary value problems for a biharmonic equation with periodic conditions. Zbl 07461940
Turmetov, Batirkhan; Karachik, Valery
1
2018
On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001
Karachik, V. V.; Torebek, B. T.
10
2017
Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004
Karachik, V. V.
8
2017
Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074
Karachik, Valery; Turmetov, Batirkhan
6
2017
Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001
Karachik, Valery Valentinovich
4
2017
A Neumann-type problem for the biharmonic equation. Zbl 1399.35186
Karachik, V. V.
12
2016
On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015
Karachik, V. V.; Torebek, B. T.
4
2016
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118
Karachik, V. V.
16
2015
Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball. Zbl 1333.35008
Karachik, Valery V.; Sadybekov, Makhmud A.; Torebek, Berikbol T.
14
2015
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032
Karachik, V. V.
17
2014
Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093
Karachik, V. V.
15
2014
On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017
Karachik, V. V.
8
2014
Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084
Karachik, V. V.
6
2014
Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator. Zbl 1327.35395
Bekaeva, A. E.; Karachik, V. V.; Turmetov, B. Kh.
5
2014
Method of normalized systems of functions. (Метод нормированных систем функций.) Zbl 1297.35005
Karachik, Valery V.
1
2014
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078
Karachik, V. V.
19
2013
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070
Karachik, V. V.; Antropova, N. A.
17
2013
On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010
Karachik, V. V.
10
2013
On some special polynomials and functions. Zbl 1330.33004
Karachik, V. V.
3
2013
On an arithmetical triangle. Zbl 1302.35158
Karachik, V. V.
1
2013
Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball. Zbl 1263.35088
Karachik, Valery; Turmetov, Batirkhan; Bekaeva, Aygerim
12
2012
On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017
Karachik, V. V.; Antropova, N. A.
7
2012
Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027
Karachik, V. V.
4
2012
Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation. Zbl 1259.35082
Karachik, V. V.
1
2012
Polynomial solutions to Dirichlet boundary value problem for the 3-harmonic equation in a ball. Zbl 07324920
Karachik, Valeriĭ V.
1
2012
Construction of polynomial solutions to some boundary value problems for Poisson’s equation. Zbl 1274.31002
Karachik, V. V.
24
2011
On some integro-differential operators in the class of harmonic functions and their applications. Zbl 1340.35357
Karachik, V. V.; Turmetov, B. Kh.; Torebek, B. T.
8
2011
Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086
Karachik, V. V.
2
2011
On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007
Karachik, V. V.; Antropova, N. A.
11
2010
On an expansion of Almansi type. Zbl 1152.35351
Karachik, V. V.
16
2008
On one representation of analytic functions by harmonic functions. Zbl 1249.31005
Karachik, V. V.
11
2007
On some special polynomials. Zbl 1058.33009
Karachik, V. V.
10
2004
Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009
Karachik, V. V.
22
2003
Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014
Karachik, Valery V.
12
2000
A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037
Karachik, V. V.
2
1999
On one set of orthogonal harmonic polynomials. Zbl 0916.33007
Karachik, V. V.
19
1998
Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020
Karachik, V. V.
2
1997
\(p\)-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024
Karachik, Valery V.
4
1996
Distribution of Eulerian and Stirling numbers \(\bmod p\) in arithmetical triangles. Zbl 0949.11014
Bondarenko, B. A.; Karachik, V. V.; Tulyaganov, R. B.
2
1996
On solvability of the boundary value problem for the Helmholtz equation with higher order normal derivatives on the boundary. Zbl 0826.35031
Karachik, V. V.
4
1992
A problem for the polyharmonic equation in the sphere. Zbl 0777.31006
Karachik, V. V.
11
1991
On a problem for the polyharmonic equation in a ball. Zbl 0747.31007
Karachik, V. V.
11
1991
On a problem for the harmonic equation. Zbl 0739.31004
Karachik, V. V.; Turmetov, B. Kh.
7
1990
On polynomial solutions of systems of linear differential equations. Zbl 0686.35032
Karachik, V. V.
1
1987
all top 5

Cited in 44 Serials

11 Differential Equations
6 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
5 Journal of Mathematical Sciences (New York)
5 Boundary Value Problems
4 Mathematical Notes
4 Computational Mathematics and Mathematical Physics
4 Filomat
4 Complex Variables and Elliptic Equations
3 Computers & Mathematics with Applications
3 Russian Mathematics
3 Matematicheskie Trudy
3 Lobachevskii Journal of Mathematics
3
2 Journal of Mathematical Analysis and Applications
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Proceedings of the American Mathematical Society
2 Siberian Mathematical Journal
2 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Mathematical Methods in the Applied Sciences
1 Applied Mathematics and Computation
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Applied Numerical Mathematics
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 SIAM Journal on Scientific Computing
1 Turkish Journal of Mathematics
1 Advances in Applied Clifford Algebras
1 Engineering Analysis with Boundary Elements
1 Novi Sad Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Communications in Contemporary Mathematics
1 Mathematical Modelling and Analysis
1 Computational Methods and Function Theory
1 Analysis in Theory and Applications
1 Mediterranean Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
1 Advances in Pure and Applied Mathematics
1 Symmetry
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Journal of Siberian Federal University. Mathematics & Physics
1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya

Citations by Year