B. E. Kanguzhin, B. D. Koshanov, “Necessary and sufficient conditions of resolvability boundary problems for non-uniform polyharmoniсs equations in ball”, Ufimsk. Mat. Zh., 2010, Volume 2, Issue 2,Pages <nobr>41

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Necessary and sufficient conditions of resolvability boundary problems for non-uniform polyharmoniсs equations in ball

B. E. Kanguzhin^a, B. D. Koshanov^b

^a Al-Farabi Kazakh National University, Almaty, Kazakhstan
^b Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan, Almaty, Kazakhstan

Abstract: In the work are different boundary value problems for nonhomogeneous polyharmonic equations in a sphere of an arbitrary dimension. Also is to construct in the explicit form the Green function for Dirichlet problem for nonhomogeneous polyharmonic equation in a sphere.

Keywords: Dirichlet problem, Neumann's problem, the polyharmonics equation.

UDC: 517.95

Received: 08.02.2010