Acta mathematica scientia, Series B >
ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY
Received date: 2013-09-13
Revised date: 2014-05-03
Online published: 2014-11-20
Supported by
The research of A.Cabada was partially supported by Ministerio de Ciencia e Innovacion-SPAIN, and FEDER, project MTM2010-15314 and research of A.S. Berdyshev and B.Kh. Turmetov was supported by the Ministry of Science and Education of the Republic of Kazakhstan through the Project No. 0713 GF.
This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems.
A.S. BERDYSHEV , A. CABADA , B.Kh. TURMETOV . ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY[J]. Acta mathematica scientia, Series B, 2014 , 34(6) : 1695 -1706 . DOI: 10.1016/S0252-9602(14)60115-6
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