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 .
On the max-type equation
✍ Scribed by E.M. Elsayed; Stevo Stević
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 612 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We discuss the characteristic equation of a matrix in the max-plus algebra. In their Linear Algebra Appl. paper [101:87-108 (1988)] Olsder and Roos have used a transformation between the max-plus algebra and linear algebra to show that the Cayley-Hamilton theorem also holds in the maw-plus algebra.
This paper applies the max-min approach proposed by Ji-Huan He to the relativistic oscillator. Comparison with the exact solution shows that the method is very effective and convenient for solving nonlinear equations.
Let p>3 be an odd prime and `a pth root of unity. Let c be an integer divisible only by primes of the form kp&1, (k, p)=1. Let C (i) p be the eigenspace of the ideal class group of Q(`) corresponding to | i , | being the Teichmuller character. Let B 2i denote the 2i th Bernoulli number. In this arti