Product formulas for perturbations of linear propagators
β Scribed by William G. Faris
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 687 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The aim of this paper is to obtain an asymptotic formula for each solution of a l 2 -perturbed linear delay difference system. The results obtained here extend some earlier results for ordinary difference equations and are parallel to some recent results for delay differential equations.
## First-order perturbation formulas for frequency, wave number, group velocity, amplitude and phase are obtained for linear dispersive waves propagating in weak spatially (but otherwise general) non-uniform media. The formulas are derived from Whitham's theory under the assumptions of slow wave m
Combining a bifurcation theorem with a local LerayαSchauder degree theorem of Krasnoselskii and Zabreiko in the case of a simple singular point, we obtain an existence result on the number of small solutions for a class of functional bifurcation equations. Since this result contains the information