Gauge-Related Deformations of Ordinary Linear Differential Operators with Constant Coefficients
β Scribed by S. P. Khekalo
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 362 KB
- Volume
- 132
- Category
- Article
- ISSN
- 1573-8795
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## Abstract Let __P__(__z__) be a polynomial of degree __n__ with complex coefficients and consider the __n__βth order linear differential operator __P__(__D__). We show that the equation __P__(__D__)__f__ = 0 has the HyersβUlam stability, if and only if the equation __P__(__z__) = 0 has no pure im
We show that the structure of the Lie symmetry algebra of a system of n linear secondorder ordinary differential equations with constant coefficients depends on at most n Γ 1 parameters. The tools used are Jordan canonical forms and appropriate scaling transformations. We put our approach to test by