I. A. Gulyashikh, “Homogeneous Dirichlet–Riquier problem for inhomogeneous biharmonic equation in a ball”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2016, Volume 8, Issue 1,Pages <nobr>57

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Homogeneous Dirichlet–Riquier problem for inhomogeneous biharmonic equation in a ball

I. A. Gulyashikh

South Ural State University, Chelyabinsk, Russia

Abstract: The solvability condition of the homogeneous Dirichlet–Riquier boundary value problem for inhomogeneous biharmonic equation in the unit ball, having polynomial right-hand part is obtained.

Keywords: Dirichlet–Riquier boundary value problem; inhomogeneous biharmonic equation; solvability conditions.

UDC: 517.956.223

Received: 05.12.2015

DOI: 10.14529/mmph160108