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Spectral analysis of fourth order differential operators II

✍ Scribed by Horst Behncke

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
206 KB
Volume
279
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

Spectral analysis of fourth order differ
Spectral analysis of fourth order differential operators III
✍ Horst Behncke πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 177 KB

## Abstract This paper extends the results of the two previous papers in several directions. For one we allow slower decay of the coefficients, but higher order differentiability. For this an expansion for the diagonalizing transformations is derived. Secondly unbounded coefficients are permitted.

Spectral analysis of fourth order differ
Spectral analysis of fourth order differential operators I
✍ Horst Behncke πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 218 KB

## Abstract We study the spectral theory of differential operators of the form on β„’^2^~__w__~ (0, ∞). By means of asymptotic integration, estimates for the eigenfunctions and__M__ ‐matrix are derived. Since the __M__ ‐function is the Stieltjes transform of the spectral measure, spectral properties

Spectral analysis of higher order differ
Spectral analysis of higher order differential operators with unbounded coefficients II
✍ Horst Behncke; Fredrick Oluoch Nyamwala πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 243 KB

## 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.

Spectral analysis of higher order differ
Spectral analysis of higher order differential operators with unbounded coefficients
✍ Horst Behncke; Fredrick Oluoch Nyamwala πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 209 KB

## 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

Additional spectral properties of the fo
Additional spectral properties of the fourth-order Bessel-type differential equation
✍ W. N. Everitt; H. Kalf; L. L. Littlejohn; C. Markett πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 177 KB

## Abstract This paper discusses the spectral properties of the self‐adjoint differential operator generated by the fourth‐order Bessel‐type differential expression, as defined by Everitt and Markett in 1994, in a Lebesgue–Stieltjes Hilbert function space. This space involves functions defined on t