一类广义矢量偏微分方程的并矢格林函数解及其应用

数学物理学报 ›› 1999, Vol. 19 ›› Issue (1): 17-22.

一类广义矢量偏微分方程的并矢格林函数解及其应用

(淮阴师范学院物理系 |江苏淮阴 223001)

出版日期:1999-02-01 发布日期:1999-02-01

Dyadic Green's Functon Solution of a Generalized Vector Partial Differetial Equation and its Application

(Huaiyin Teachers College, Huaiyin 223001) |

Online:1999-02-01 Published:1999-02-01

摘要/Abstract

摘要：

利用傅里叶变换、留数定理，求解了一类广义矢量偏微分方程的并矢格林函数，研究了无界空间的积分解，并应用于具体物理实例.

关键词: 广义矢量偏微分方程, 并矢格林函数, 积分关系．

Abstract:

The dyadic Green′s function of a generatized vector partial differential equation is solved by Fourier transformation, theorem of residues, etc. The integral solution in threedimensional unbounded space is studied, and some examples are given.

Key words: Ｇｅｎｅｒａｌｉｚｅｄｖｅｃｔｏｒｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ, ＤｙａｄｉｃＧｒｅｅｎ′ｓｆｕｎｃｔｉｏｎ, Ｉｎｔｅｇｒａｌｒｅｌａｔｉｏｎｓｈｉｐ．

中图分类号:

　７８

崔元顺. 一类广义矢量偏微分方程的并矢格林函数解及其应用[J]. 数学物理学报, 1999, 19(1): 17-22.

Cui Yuanshun. Dyadic Green's Functon Solution of a Generalized Vector Partial Differetial Equation and its Application[J]. Acta mathematica scientia,Series A, 1999, 19(1): 17-22.