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

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

2010-09-11

arxiv.org/abs/1009.2158v1

Mathematics

Complex Variables

80 pages

Scientific paper

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.

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