Boundary value problems for the Cimmino system via quaternionic analysis

被引：6
|
作者：
Abreu Blaya, Ricardo [1 ]
Bory Reyes, Juan [2 ]
Guzman Adan, Ali [2 ]
Schneider, Baruch [3 ]
机构：
[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba
[2] Univ Oriente, Dept Matemat, Santiago De Cuba 90500, Cuba
[3] Izmir Univ Econ, Fac Sci & Literature, Dept Math, TR-35330 Izmir, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Cimmino system; Quaternionic analysis; Boundary value problems;
D O I：
10.1016/j.amc.2012.10.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of boundary value problems for a first order linear partial differential equation (all of whose solutions are harmonic functions), which is called the Cimmino system. With the help of the one-to-one correspondence between the theory of quaternion valued hyperholomorphic functions and that of Cimmino system's solutions, necessary and sufficient conditions for the solvability of the non-homogeneous Cimmino system coupled by the boundary conditions are derived and its general solution is explicitly described. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：3872 / 3881
页数：10
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