Institute of Mathematics and Informatics, Vilnius University, Akademijos 4, Vilnius, LT-08663, Lithuania
Copyright © 2011 Svetlana Roman and Artūras Štikonas. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate a
second-order discrete problem with two
additional conditions which are described by a
pair of linearly independent linear functionals.
We have found the solution to this problem and
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 nonhomogeneous problems. It allows us to find Green's function for the same equation but with different additional conditions. The obtained results are applied to problems with nonlocal boundary conditions.