## Abstract Higher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying
The Spectrum of Differential Operators of Order 2n with Almost Constant Coefficients
β Scribed by Horst Behncke; Don Hinton; Christian Remling
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 433 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Differential operators of higher order with unbounded coefficients are analyzed with respect to deficiency index and spectra. The eigenvalues fall into clusters of distinct size and each cluster contributes separately to the deficiency index and spectra.
## 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