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Green's function for discrete problems with nonlocal boundary conditions

Svetlana Roman, Artūras Štikonas
2011 Lietuvos matematikos rinkinys  
In this article, we investigate an m-order discrete problem with additional conditions which are described by m of linearly independent linear functionals. We have presented a formula and the existence condition of Green's function, if the general solution of a homogeneous equation is known. We have obtained the relation between two Green's functions of two inhomogeneous problems. It allows us to find Green's function for the same equation but with different additional conditions. The obtained
more » ... ions. The obtained results are applied to problems withnonlocal boundary conditions. This research was funded by a grant (No. MIP-051/2011) from the Research Council of Lithuania
doi:10.15388/lmr.2011.sm02 fatcat:behlgbstdzdgxctsbysyqgee5e