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

页码：3872 / 3881

页数：10

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