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- Title
ON THE SOLUTIONS OF A SECOND-ORDER DIFFERENCE EQUATION IN TERMS OF GENERALIZED PADOVAN SEQUENCES.
- Authors
HALIM, YACINE; RABAGO, JULIUS FERGY T.
- Abstract
This paper deals with the solution, stability character and asymptotic behavior of the rational difference equation ..., n ∈ ℕ0, where ℕ0 = ℕ ∪ {0}, α, β, γ ∈ ℝ, and the initial conditions x-1 and x0 are non zero real numbers such that their solutions are associated to generalized Padovan numbers. Also, we investigate the two-dimensional case of the this equation given by ..., ..., n ∈ ℕ0.
- Subjects
NUMERICAL solutions to difference equations; DIFFERENCE equations; REAL numbers; STABILITY theory; ASYMPTOTIC theory of algebraic ideals; DIFFERENTIAL equations
- Publication
Mathematica Slovaca, 2018, Vol 68, Issue 3, p625
- ISSN
0139-9918
- Publication type
Article
- DOI
10.1515/ms-2017-0130