We investigate how the behaviour, especially at "Ο±, of continuous real solutions Ε½ . Ε½ . Ε½ . Ε½ . 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 a Max Difference Equation
β Scribed by G Papaschinopoulos; V Hatzifilippidis
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 99 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
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 β 0 β and k β 2 3 .
π SIMILAR VOLUMES
In this paper we study the behavior of the solutions of the difference equation where Ξ± 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 = Ξ± + x n-1
We investigate the boundedness character, the periodic nature, and the global asymptotic stability of all positive solutions of the equation in the title with positive parameters and nonnegative initial conditions. (~) 2001 Elsevier Science Ltd. All rights reserved.
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.