Green’s Matrices for First Order Differential Systems with Nonlocal Conditions∗

In this paper, we investigate the linear system of first order ordinary differential equations with nonlocal conditions. Green’s matrices, their explicit representations and properties are considered as well. We present the relation between the Green’s matrix for the system and the Green’s function...

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Bibliographic Details
Main Authors: Gailė Paukštaitė, Artūras Štikonas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2017-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/890
Description
Summary:In this paper, we investigate the linear system of first order ordinary differential equations with nonlocal conditions. Green’s matrices, their explicit representations and properties are considered as well. We present the relation between the Green’s matrix for the system and the Green’s function for the differential equation. Several examples are also given.
ISSN:1392-6292
1648-3510