Green function solution of generalised boundary value problems |
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Affiliation: | 1. Institute for Physical Research, Armenian Academy of Sciences, Ashtarak 0203, Armenia;2. University of Potsdam, Institute of Physics and Astronomy, Karl-Liebknecht-Str. 24/25, 14476 Potsdam, Germany |
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Abstract: | We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions. |
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Keywords: | Boundary value problem Green function |
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