Line integration and second order partial differential equations over Cayley-Dickson algebras

Abstract

Line integration of generalized functions is studied. Second order partial differential equations with piecewise continuous and generalized variable coefficients over Cayley-Dickson algebras are investigated. Formulas for integrations of such equations are deduced. For this purpose a non-commutative line integration is used. Examples of solutions of partial differential equations are given.

80 pages

References in corpus (2)

• Functions of several Cayley-Dickson variables and manifolds over them
• Quasi-conformal functions of quaternion and octonion variables, their integral transformations

Cited by in corpus (1)

• Integration of vector hydrodynamical partial differential equations over octonions