Edit Profile Karachik, Valeriĭ Valentinovich Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1274.31002Karachik, V. V. 20 2011 On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078Karachik, V. V. 17 2013 Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009Karachik, V. V. 16 2003 On one set of orthogonal harmonic polynomials. Zbl 0916.33007Karachik, V. V. 15 1998 Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093Karachik, V. V. 14 2014 On an expansion of Almansi type. Zbl 1152.35351Karachik, V. V. 13 2008 Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118Karachik, V. V. 12 2015 Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032Karachik, V. V. 12 2014 Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070Karachik, V. V.; Antropova, N. A. 11 2013 Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014Karachik, Valery V. 11 2000 On a problem for the polyharmonic equation in a ball. Zbl 0747.31007Karachik, V. V. 11 1991 Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball. Zbl 1263.35088Karachik, Valery; Turmetov, Batirkhan; Bekaeva, Aygerim 10 2012 Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball. Zbl 1333.35008Karachik, Valery V.; Sadybekov, Makhmud A.; Torebek, Berikbol T. 9 2015 On one representation of analytic functions by harmonic functions. Zbl 1249.31005Karachik, V. V. 9 2007 On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010Karachik, V. V. 8 2013 On some integro-differential operators in the class of harmonic functions and their applications. Zbl 1340.35357Karachik, V. V.; Turmetov, B. Kh.; Torebek, B. T. 8 2011 On some special polynomials. Zbl 1058.33009Karachik, V. V. 8 2004 On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007Karachik, V. V.; Antropova, N. A. 7 2010 A problem for the polyharmonic equation in the sphere. Zbl 0777.31006Karachik, V. V. 7 1991 A Neumann-type problem for the biharmonic equation. Zbl 1399.35186Karachik, V. V. 6 2016 On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017Karachik, V. V. 6 2014 On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017Karachik, V. V.; Antropova, N. A. 6 2012 On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001Karachik, V. V.; Torebek, B. T. 5 2017 Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004Karachik, V. V. 5 2017 Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084Karachik, V. V. 5 2014 On a problem for the harmonic equation. Zbl 0739.31004Karachik, V. V.; Turmetov, B. Kh. 5 1990 \(p\)-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024Karachik, Valery V. 4 1996 Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006Karachik, V. V. 3 2018 Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074Karachik, Valery; Turmetov, Batirkhan 3 2017 On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015Karachik, V. V.; Torebek, B. T. 3 2016 Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator. Zbl 1327.35395Bekaeva, A. E.; Karachik, V. V.; Turmetov, B. Kh. 3 2014 On the Green’s function for the third boundary value problem. Zbl 1438.35117Karachik, V. V.; Turmetov, B. Kh. 2 2018 Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001Karachik, Valery Valentinovich 2 2017 On some special polynomials and functions. Zbl 1330.33004Karachik, V. V. 2 2013 Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027Karachik, V. V. 2 2012 Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086Karachik, V. V. 2 2011 A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037Karachik, V. V. 2 1999 Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020Karachik, V. V. 2 1997 Distribution of Eulerian and Stirling numbers \(\bmod p\) in arithmetical triangles. Zbl 0949.11014Bondarenko, 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 0826.35031Karachik, V. V. 2 1992 On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093Karachik, Valery V.; Turmetov, Batirkhan K. 1 2019 The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005Karachik, V. V. 1 2019 Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003Karachik, V. V. 1 2018 Method of normalized systems of functions. Zbl 1297.35005Karachik, Valery V. 1 2014 On an arithmetical triangle. Zbl 1302.35158Karachik, V. V. 1 2013 Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation. Zbl 1259.35082Karachik, V. V. 1 2012 On polynomial solutions of systems of linear differential equations. Zbl 0686.35032Karachik, V. V. 1 1987 On Green’s function of the Robin problem for the Poisson equation. Zbl 1426.35093Karachik, Valery V.; Turmetov, Batirkhan K. 1 2019 The Green function of the Dirichlet problem for the biharmonic equation in a ball. Zbl 1432.31005Karachik, V. V. 1 2019 Riquier-Neumann problem for the polyharmonic equation in a ball. Zbl 1400.31006Karachik, V. V. 3 2018 On the Green’s function for the third boundary value problem. Zbl 1438.35117Karachik, V. V.; Turmetov, B. Kh. 2 2018 Solving a problem of Robin type for biharmonic equation. Zbl 1394.31003Karachik, V. V. 1 2018 On the Dirichlet-Riquier problem for biharmonic equations. Zbl 1381.31001Karachik, V. V.; Torebek, B. T. 5 2017 Generalized third boundary value problem for the biharmonic equation. Zbl 1380.31004Karachik, V. V. 5 2017 Solvability of some Neumann-type boundary value problems for biharmonic equations. Zbl 1371.35074Karachik, Valery; Turmetov, Batirkhan 3 2017 Integral identities on a sphere for normal derivatives of polyharmonic functions. Zbl 1383.31001Karachik, Valery Valentinovich 2 2017 A Neumann-type problem for the biharmonic equation. Zbl 1399.35186Karachik, V. V. 6 2016 On one mathematical model described by boundary value problem for the biharmonic equation. Zbl 1401.31015Karachik, V. V.; Torebek, B. T. 3 2016 Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball. Zbl 1331.35118Karachik, V. V. 12 2015 Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball. Zbl 1333.35008Karachik, Valery V.; Sadybekov, Makhmud A.; Torebek, Berikbol T. 9 2015 Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball. Zbl 1313.35093Karachik, V. V. 14 2014 Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation. Zbl 1319.35032Karachik, V. V. 12 2014 On the arithmetic triangle arising from the solvability conditions for the Neumann problem. Zbl 1317.31017Karachik, V. V. 6 2014 Green function of the Dirichlet boundary value problem for polyharmonic equation in a ball under polynomial data. Zbl 1310.35084Karachik, V. V. 5 2014 Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator. Zbl 1327.35395Bekaeva, A. E.; Karachik, V. V.; Turmetov, B. Kh. 3 2014 Method of normalized systems of functions. Zbl 1297.35005Karachik, Valery V. 1 2014 On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball. Zbl 1340.35078Karachik, V. V. 17 2013 Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball. Zbl 1276.35070Karachik, V. V.; Antropova, N. A. 11 2013 On the mean value property for polyharmonic functions in the ball. Zbl 1340.31010Karachik, V. V. 8 2013 On some special polynomials and functions. Zbl 1330.33004Karachik, V. V. 2 2013 On an arithmetical triangle. Zbl 1302.35158Karachik, V. V. 1 2013 Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball. Zbl 1263.35088Karachik, Valery; Turmetov, Batirkhan; Bekaeva, Aygerim 10 2012 On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball. Zbl 1324.35017Karachik, V. V.; Antropova, N. A. 6 2012 Method for constructing solutions of linear ordinary differential equations with constant coefficients. Zbl 1249.34027Karachik, V. V. 2 2012 Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation. Zbl 1259.35082Karachik, V. V. 1 2012 Construction of polynomial solutions to some boundary value problems for Poisson’s equation. Zbl 1274.31002Karachik, V. V. 20 2011 On some integro-differential operators in the class of harmonic functions and their applications. Zbl 1340.35357Karachik, V. V.; Turmetov, B. Kh.; Torebek, B. T. 8 2011 Polynomial solutions to partial differential equations with constant coefficients. I. Zbl 1331.35086Karachik, V. V. 2 2011 On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation. Zbl 1194.31007Karachik, V. V.; Antropova, N. A. 7 2010 On an expansion of Almansi type. Zbl 1152.35351Karachik, V. V. 13 2008 On one representation of analytic functions by harmonic functions. Zbl 1249.31005Karachik, V. V. 9 2007 On some special polynomials. Zbl 1058.33009Karachik, V. V. 8 2004 Normalized system of functions with respect to the Laplace operator and its applications. Zbl 1039.31009Karachik, V. V. 16 2003 Polynomial solutions to systems of partial differential equations with constant coefficients. Zbl 0971.35014Karachik, Valery V. 11 2000 A generalized Neumann problem for harmonic functions in the half-space. Zbl 0967.35037Karachik, V. V. 2 1999 On one set of orthogonal harmonic polynomials. Zbl 0916.33007Karachik, V. V. 15 1998 Continuity of polynomial solutions with respect to the coefficient of the higher derivative. Zbl 0899.35020Karachik, V. V. 2 1997 \(p\)-latin matrices and Pascal’s triangle modulo a prime. Zbl 0862.11024Karachik, Valery V. 4 1996 Distribution of Eulerian and Stirling numbers \(\bmod p\) in arithmetical triangles. Zbl 0949.11014Bondarenko, 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 0826.35031Karachik, V. V. 2 1992 On a problem for the polyharmonic equation in a ball. Zbl 0747.31007Karachik, V. V. 11 1991 A problem for the polyharmonic equation in the sphere. Zbl 0777.31006Karachik, V. V. 7 1991 On a problem for the harmonic equation. Zbl 0739.31004Karachik, V. V.; Turmetov, B. Kh. 5 1990 On polynomial solutions of systems of linear differential equations. Zbl 0686.35032Karachik, V. V. 1 1987 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.