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V. Karachik, M. Sadybekov, B. Torebek (2015)
UNIQUENESS OF SOLUTIONS TO BOUNDARY-VALUE PROBLEMS FOR THE BIHARMONIC EQUATION IN A BALL
V.V. Karachik (2011)
Construction of polynomial solutions of some boundary value problems for the Poisson equationComput. Math. Math. Phys., 51
V. Karachik (2014)
On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ballJournal of Applied and Industrial Mathematics, 8
V. Karachik (2014)
On the mean value property for polyharmonic functions in the ballSiberian Advances in Mathematics, 24
V. Karachik, B. Torebek (2016)
On one mathematical model described by boundary value problem for the biharmonic equationBulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software, 9
F. Gazzola, G. Sweers (2008)
On Positivity for the Biharmonic Operator under Steklov Boundary ConditionsArchive for Rational Mechanics and Analysis, 188
(2010)
On the solution of a nonhomogeneous polyharmonic equation and the nonhomogeneous Helmholtz equation, Differ
V. Karachik (1998)
On one set of orthogonal harmonic polynomials, 126
V.B. Sokolovskii (1988)
On a generalization of the Neumann problemDiffer. Uravn., 24
A. DangQuang, M. Thao (2011)
Iterative method for solving a problem with mixed boundary conditions for biharmonic equation arising in fracture mechanics, 31
V. Karachik (2015)
Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ballDifferential Equations, 51
V. Karachik, N. Antropova (2013)
Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ballDifferential Equations, 49
(2016)
Homogeneous Dirichlet–Riquier problem for the inhomogeneous biharmonic equation in a ball, Vestn
V.V. Karachik, B.T. Torebek (2016)
On the mathematical model described by a boundary value problem for the biharmonic equationVestn. Yuzhno-Ural. Gos. Univ. Ser. Mat. Model. Progr., 9
A. Gómez-Polanco, J. Guevara-Jordan, B. Molina (2013)
A mimetic iterative scheme for solving biharmonic equationsMath. Comput. Model., 57
V. Karachik (2014)
Solvability conditions for the Neumann problem for the homogeneous polyharmonic equationDifferential Equations, 50
O. Matevossian (2015)
On solutions of the Neumann problem for the biharmonic equation in unbounded domainsMathematical Notes, 98
Q. Dang (2006)
Iterative method for solving the Neumann boundary value problem for biharmonic type equationJournal of Computational and Applied Mathematics, 196
(1953)
Higher Transcendental Functions (Bateman Manuscript Project)
V. Karachik (1991)
A problem for the polyharmonic equation in the sphereSiberian Mathematical Journal, 32
B. Turmetov, K. Nazarova (2019)
On a generalization of the Neumann problem for the Laplace equationMathematische Nachrichten, 293
V. Karachik (2003)
Normalized system of functions with respect to the Laplace operator and its applicationsJournal of Mathematical Analysis and Applications, 287
(1982)
Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics)
A.V. Bitsadze (1982)
Uravneniya matematicheskoi fiziki
We study the existence and uniqueness of solutions of a generalized third boundary value problem for the inhomogeneous biharmonic equation in the unit ball.
Differential Equations – Springer Journals
Published: Jul 12, 2017
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