Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation

被引：0

作者：

V. V. Karachik

机构：

[1] South Ural State University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Dirichlet Problem; Neumann Problem; Solvability Condition; Polynomial Solution; Biharmonic Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain solvability conditions for the Neumann problem for the homogeneous polyharmonic equation in the unit ball. We study the arithmetic triangle that arises in these conditions. For the elements of that triangle, we obtain recursion relations similar to the relations for the Pascal, Euler, and Stirling triangles. We establish a relationship between the Neumann problem and the Dirichlet problem.

引用

页码：1449 / 1456

页数：7

共 50 条

[1] Solvability conditions for the Neumann problem for the homogeneous polyharmonic equation
Karachik, V. V.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (11) : 1449 - 1456
[2] On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball
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[J]. Karachik, V. V. (karachik@susu.ru), 1600, Izdatel'stvo Nauka (08): : 63 - 75
[3] On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
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[J]. Boundary Value Problems, 2013
[4] On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball
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[J]. BOUNDARY VALUE PROBLEMS, 2013,
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[J]. MATHEMATICS, 2023, 11 (04)
[10] Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
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[J]. Computational Mathematics and Mathematical Physics, 2006, 46 (7) : 1207 - 1215

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