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## Karachik, Valeriĭ Valentinovich

Compute Distance To:
 Author ID: karachik.valery-v Published as: Karachik, V. V.; Karachik, Valeriy Valentinovich; Karachik, Valeriĭ Valentinovich; Karachik, Valery; Karachik, Valery V.; Karachik, Valery Valentinovich Homepage: http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=28783 External Links: MGP · Math-Net.Ru · Wikidata · ORCID · ResearchGate
 Documents Indexed: 110 Publications since 1981, including 9 Books Reviewing Activity: 239 Reviews Biographic References: 1 Publication
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#### Co-Authors

 72 single-authored 10 Turmetov, Batirkhan Khudaybergenovich 6 Bondarenko, Boris Anisimovitch 5 Menikhes, Leonid Davidovich 4 Antropova, N. A. 4 Torebek, Berikbol Tillabayuly 4 Zalyapin, Vladimir Il’ich 2 Dil’man, Valeriĭ Leĭzerovich 2 Komissarova, Dar’ya Amirovna 2 Saidkarimova, G. U. 2 Tulyaganov, R. B. 2 Uluknazarov, M. Zh. 1 Abdurakhmanov, C. 1 Aleev, Rifkhat Zhalyalovich 1 Bekaeva, A. E. 1 Bekaeva, Aygerim 1 Drozin, A. D. 1 Keller, Alevtina Viktorovna 1 Kharitonova, Elena Vladimirovna 1 Kim-Tian, Luiza Revmirovna 1 Kovalev, Alekseĭ Viktorovich 1 Manakova, Natal’ya Aleksandrovna 1 Rusak, Yuriĭ Borisovich 1 Sadybekov, Makhmud A. 1 Saidkarimov, U. S. 1 Sarsenbi, Abdizhahan M. 1 Sviridyuk, Georgiĭ Anatol’evich 1 Tabarintseva, Elena Vladimirovna 1 Uluknasarov, M. J. 1 Yuan, Hongfen
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#### Serials

 28 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 9 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 6 Matematicheskie Trudy 6 Differential Equations 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 Russian Mathematics 3 Journal of Mathematical Sciences (New York) 2 Differentsial’nye Uravneniya 2 Differential Equations 2 Computational Mathematics and Mathematical Physics 2 Electronic Journal of Differential Equations (EJDE) 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Complex Variables and Elliptic Equations 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 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 Problemy Informatiki i Ènergetiki 1 International Journal of Pure and Applied Mathematics 1 Advances in Pure and Applied Mathematics 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
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#### Fields

 67 Partial differential equations (35-XX) 39 Potential theory (31-XX) 9 Combinatorics (05-XX) 9 Number theory (11-XX) 8 Real functions (26-XX) 6 Operator theory (47-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 3 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

47 Publications have been cited 297 times in 65 Documents Cited by Year
Construction of polynomial solutions to some boundary value problems for Poisson’s equation. Zbl 1274.31002
Karachik, V. V.
2011
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078
Karachik, V. V.
2013
Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009
Karachik, V. V.
2003
On one set of orthogonal harmonic polynomials. Zbl 0916.33007
Karachik, V. V.
1998
Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093
Karachik, V. V.
2014
On an expansion of Almansi type. Zbl 1152.35351
Karachik, V. V.
2008
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118
Karachik, V. V.
2015
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032
Karachik, V. V.
2014
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070
Karachik, V. V.; Antropova, N. A.
2013
Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014
Karachik, Valery V.
2000
On a problem for the polyharmonic equation in a ball. Zbl 0747.31007
Karachik, V. V.
1991
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
2012
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.
2015
On one representation of analytic functions by harmonic functions. Zbl 1249.31005
Karachik, V. V.
2007
On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010
Karachik, V. V.
2013
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.
2011
On some special polynomials. Zbl 1058.33009
Karachik, V. V.
2004
On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007
Karachik, V. V.; Antropova, N. A.
2010
A problem for the polyharmonic equation in the sphere. Zbl 0777.31006
Karachik, V. V.
1991
A Neumann-type problem for the biharmonic equation. Zbl 1399.35186
Karachik, V. V.
2016
On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017
Karachik, V. V.
2014
On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017
Karachik, V. V.; Antropova, N. A.
2012
On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001
Karachik, V. V.; Torebek, B. T.
2017
Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004
Karachik, V. V.
2017
Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084
Karachik, V. V.
2014
On a problem for the harmonic equation. Zbl 0739.31004
Karachik, V. V.; Turmetov, B. Kh.
1990
$$p$$-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024
Karachik, Valery V.
1996
Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006
Karachik, V. V.
2018
Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074
Karachik, Valery; Turmetov, Batirkhan
2017
On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015
Karachik, V. V.; Torebek, B. T.
2016
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.
2014
On the Green’s function for the third boundary value problem. Zbl 1438.35117
Karachik, V. V.; Turmetov, B. Kh.
2018
Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001
Karachik, Valery Valentinovich
2017
On some special polynomials and functions. Zbl 1330.33004
Karachik, V. V.
2013
Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027
Karachik, V. V.
2012
Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086
Karachik, V. V.
2011
A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037
Karachik, V. V.
1999
Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020
Karachik, V. V.
1997
Distribution of Eulerian and Stirling numbers $$\bmod p$$ in arithmetical triangles. Zbl 0949.11014
Bondarenko, B. A.; Karachik, V. V.; Tulyaganov, R. B.
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.
1992
On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093
Karachik, Valery V.; Turmetov, Batirkhan K.
2019
The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005
Karachik, V. V.
2019
Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003
Karachik, V. V.
2018
Method of normalized systems of functions. Zbl 1297.35005
Karachik, Valery V.
2014
On an arithmetical triangle. Zbl 1302.35158
Karachik, V. V.
2013
Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation. Zbl 1259.35082
Karachik, V. V.
2012
On polynomial solutions of systems of linear differential equations. Zbl 0686.35032
Karachik, V. V.
1987
On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093
Karachik, Valery V.; Turmetov, Batirkhan K.
2019
The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005
Karachik, V. V.
2019
Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006
Karachik, V. V.
2018
On the Green’s function for the third boundary value problem. Zbl 1438.35117
Karachik, V. V.; Turmetov, B. Kh.
2018
Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003
Karachik, V. V.
2018
On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001
Karachik, V. V.; Torebek, B. T.
2017
Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004
Karachik, V. V.
2017
Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074
Karachik, Valery; Turmetov, Batirkhan
2017
Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001
Karachik, Valery Valentinovich
2017
A Neumann-type problem for the biharmonic equation. Zbl 1399.35186
Karachik, V. V.
2016
On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015
Karachik, V. V.; Torebek, B. T.
2016
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118
Karachik, V. V.
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.
2015
Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093
Karachik, V. V.
2014
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032
Karachik, V. V.
2014
On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017
Karachik, V. V.
2014
Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084
Karachik, V. V.
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.
2014
Method of normalized systems of functions. Zbl 1297.35005
Karachik, Valery V.
2014
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078
Karachik, V. V.
2013
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070
Karachik, V. V.; Antropova, N. A.
2013
On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010
Karachik, V. V.
2013
On some special polynomials and functions. Zbl 1330.33004
Karachik, V. V.
2013
On an arithmetical triangle. Zbl 1302.35158
Karachik, V. V.
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
2012
On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017
Karachik, V. V.; Antropova, N. A.
2012
Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027
Karachik, V. V.
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.
2012
Construction of polynomial solutions to some boundary value problems for Poisson’s equation. Zbl 1274.31002
Karachik, V. V.
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.
2011
Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086
Karachik, V. V.
2011
On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007
Karachik, V. V.; Antropova, N. A.
2010
On an expansion of Almansi type. Zbl 1152.35351
Karachik, V. V.
2008
On one representation of analytic functions by harmonic functions. Zbl 1249.31005
Karachik, V. V.
2007
On some special polynomials. Zbl 1058.33009
Karachik, V. V.
2004
Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009
Karachik, V. V.
2003
Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014
Karachik, Valery V.
2000
A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037
Karachik, V. V.
1999
On one set of orthogonal harmonic polynomials. Zbl 0916.33007
Karachik, V. V.
1998
Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020
Karachik, V. V.
1997
$$p$$-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024
Karachik, Valery V.
1996
Distribution of Eulerian and Stirling numbers $$\bmod p$$ in arithmetical triangles. Zbl 0949.11014
Bondarenko, B. A.; Karachik, V. V.; Tulyaganov, R. B.
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.
1992
On a problem for the polyharmonic equation in a ball. Zbl 0747.31007
Karachik, V. V.
1991
A problem for the polyharmonic equation in the sphere. Zbl 0777.31006
Karachik, V. V.
1991
On a problem for the harmonic equation. Zbl 0739.31004
Karachik, V. V.; Turmetov, B. Kh.
1990
On polynomial solutions of systems of linear differential equations. Zbl 0686.35032
Karachik, V. V.
1987
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#### Cited by 43 Authors

 32 Karachik, Valeriĭ Valentinovich 17 Turmetov, Batirkhan Khudaybergenovich 5 Torebek, Berikbol Tillabayuly 5 Yuan, Hongfen 3 Antropova, N. A. 3 Weißer, Steffen 2 Berdyshev, Abdumauvlen Suleymanovich 2 Shinaliyev, Kanat M. 1 Amanov, Djumaklich 1 Amanov, Djumaklych 1 Anand, Akash 1 Ashurov, Ravshan R. 1 Bekaeva, A. E. 1 Cabada, Alberto 1 Chistyakov, E. Yu. 1 El-Gamel, Mohamed 1 El-Mohsen, Amgad Abd 1 Gulyashikh, Il’ya Anatol’evich 1 Hile, Gerald N. 1 Ibragimov, Gafurjan I. 1 Kadirkulov, Bakhtiyor J. 1 Kiliçman, Adem 1 Kirane, Mokhtar 1 Kuznetsov, Nikolai Germanovich 1 Mohsen, Adel A. K. 1 Muratbekova, Moldir A. 1 Nazarova, Kulzina 1 Niu, Miaomiao 1 Ovall, Jeffrey S. 1 Qiao, Yuying 1 Reynolds, Samuel E. 1 Rodionov, Alexey S. 1 Sadybekov, Makhmud A. 1 Sarsenbi, Abdizhahan M. 1 Soldatov, Aleksandr Pavlovich 1 Stanoyevitch, Alexander 1 Tang, Zhongwei 1 Umarov, Sabir R. 1 Wang, Lushun 1 Wang, Renhong 1 Yang, Heju 1 Yuldashev, Tursun Kamaldinovich 1 Zhou, Heng
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#### Cited in 32 Serials

 10 Differential Equations 5 Boundary Value Problems 4 Mathematical Notes 4 Journal of Mathematical Sciences (New York) 3 Russian Mathematics 3 Matematicheskie Trudy 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 2 Computers & Mathematics with Applications 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 Computational Mathematics and Mathematical Physics 2 Complex Variables and Elliptic Equations 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 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 Fractional Calculus & Applied Analysis 1 Communications in Contemporary Mathematics 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
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#### Cited in 15 Fields

 46 Partial differential equations (35-XX) 31 Potential theory (31-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

#### Wikidata Timeline

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