Article

On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball

Batirkhan TurmetovDepartment of Mathematics, Akhmet Yasawi International Kazakh-Turkish University, B. Sattarkhanov street, 29, Turkistan, 161200, KazakhstanRavshan AshurovInstitute of Mathematics National University of Uzbekistan, Hodjaeva st., 29, Tashkent, 100125, Uzbekistan

Boundary Value Problemsjournal2013en

ABI

Abstract

In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found. To do this we first reduce the Neumann problem to the Dirichlet problem for a different non-homogeneous polyharmonic equation and then use the Green function of the Dirichlet problem. MSC:35J40, 35J30, 35A01.

Topics

Differential Equations and Boundary Problems Elasticity and Wave Propagation Differential Equations and Numerical Methods

Identifiers

DOI: 10.1186/1687-2770-2013-162

Citations and references

Cited by 1 11 references

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