A group theory approach towards some higher order difference equations, solutions, periodicity and asymptotic behavior

  • Mensah Folly-Gbetoula
  • Darlison Nyirenda
Keywords: Di erence equation, symmetry, reduction, group invariant solutions.

Abstract

In this paper, we apply a group theory method to derive the generators of the Lie algebra for a class of (k+1)th order dierence equations. We then nd solutions to the dierence equations and study periodicity by giving sucient conditions for existence of certain periodicities. We further look at the asymptotic behaviour of solutions satisfying certain properties. Our results generalise some known results in the literature.

Key words: Dierence equation, symmetry, reduction, group invariant solutions.

Published
2021-06-29
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606