A quaternionic generalization of the riccati differential equation

被引：0

作者：

Kravchenko, V ^{[1
]}

Williams, B ^{[1
]}

机构：

[1] Univ Algarve, Dept Matemat, Faro, Portugal

来源：

CLIFFORD ANALYSIS AND ITS APPLICATIONS | 2001年 / 25卷

关键词：

quaternionic Riccati equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A quaternionic partial differential equation is shown to be a generalisation of the traditional Riccati equation and its relationship with the Schrodinger equation is established, Various approaches to the problem of finding particular solutions to this equation are explored, and the generalisations of two theorems of Euler on the Riccati equation, which correspond to this partial differential equation, are stated and proved.

引用

页码：143 / 154

页数：12

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