abstract 65

Bulletin of Computational Applied Mathematics (Bull CompAMa)

65

Interior estimates of first order for initial value problems in the octonion algebra

Yandry Intriago, Eusebio Ariza GarcĂ­a, Carmen Judith Vanegas


In this paper we use a Cauchy-Type integral formula for analytic octonionic-valued functions, to give an interior estimate of first order, in the supremum norm, for such functions. These estimates are used to solve an initial value problem with a O-analytic function as initial data, via the Banach fixed point theorem.


Keywords: Interior estimates; Octonions; $\mathbb{O}-$analytic functions; initial value problem.


Cite this paper:

Intriago Y., Ariza E., Vanegas C.J.

Interior estimates of first order for initial value problems in the octonion algebra

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 9, No.2, pp.77-95, 2021.