The classic Banach Contraction Principle states that any contraction on a complete metric space has a unique fixed point. Rather than requiring that a single operator be a contraction, we consider a minimum involving a set of powers of that operator and derive fixed-point results. Ordinary analytica
On a connection between KAM and Nekhoroshev's theorems
β Scribed by Alessandro Morbidelli; Antonio Giorgilli
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 199 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, a connection between Laguerre's and Hermite's matrix polynomials recently introduced in [1,2] is established.
The splitting of a continuous vector function into a gradient plus a curl is possible in an infinite number of ways. The present paper is basically concerned with two particular uniquely determined splittings called electric and magnetic. Eigenvector expansions suitable for these spllttings are exam
Euler's Connection describes an exact equivalence between certain continued fractions and power series. If the partial numerators and denominators of the continued fractions are perturbed slightly, the continued fractions equal power series plus easily computed error terms. These continued fractions