Volume no :4, Issue no: 2, December (2010)

Journal of Algebra, Number Theory: Advances and Applications

RICCATI EQUATION IN A CLASS OF TRAIN ALGEBRAS

Author's: André Conseibo
Pages: [105] - [119]
Received Date: December 15, 2010
Submitted by:

Abstract

In this paper, we deal with Riccati differential equation in a class of train algebras. We establish convergence conditions for the solutions of Riccati differential equation in train algebras of rank 3. For power-associative algebras that are train algebras, we study the long-time behaviour of solutions given by Walcher [8].

Keywords

Bernstein algebra, baric algebra, Peirce decomposition, idempotent, power-associative algebra, Riccati differential equation, train algebra.