Differential equations over octonions

Abstract

Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over octonions can be resolved. For this purpose non-commutative line integration is used. Such technique is applied to linear and non-linear partial differential equations in real variables. Possible areas of applications of these results are outlined.

50 pages

References in corpus (2)

• Zeros of polynomials over Cayley-Dickson algebras
• Differentiable functions of Cayley-Dickson numbers

Cited by in corpus (1)

• Integration of vector hydrodynamical partial differential equations over octonions