We investigate how the behaviour, especially at "ϱ, of continuous real solutions Ž . Ž . Ž . Ž . f t to the equation f t s a f t q h q a f t y h , where a , a , h , h are positive real constants, depends on the values of these parameters. Definitive answers are given, except in certain cases when
On the difference equation
✍ Scribed by Stevo Stević
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 327 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we study the behavior of the solutions of the difference equation
where α is a negative number. Included are results which considerably improve and correct those in the recently published paper: [A.E. Hamza, On the recursive sequence x n+1 = α +
x n-1
📜 SIMILAR VOLUMES
In this paper we study the existence of generalized invariants and the periodicity of the positive solutions of max equations, where a n b n are sequences of positive numbers, x -k x -k+1 x 0 ∈ 0 ∞ and k ∈ 2 3 .
In the numerical solution of Dirichlet problems, one popular technique involves replacement of Laplace's equation by a difference equation approximation. This note completes a short series of papers on best difference equation approximations.