Green's Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions

被引：0
作者：
Svetlana Roman
Artūras Štikonas
机构：
[1] Vilnius University,Institute of Mathematics and Informatics
来源：
Boundary Value Problems | / 2011卷
关键词：
Difference Equation; Homogeneous Equation; Fundamental System; Nonlocal Boundary Condition; Linear Difference Equation;
D O I：
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学科分类号：
摘要：
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.
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