𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral analysis of higher order differential operators with unbounded coefficients II

✍ Scribed by Horst Behncke; Fredrick Oluoch Nyamwala

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
243 KB
Volume
285
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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

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

Oscillations of Higher Order Neutral Dif
Oscillations of Higher Order Neutral Differential Equations with Variable Coefficients
✍ Q. Chuanxi; G. Ladas πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 361 KB

We obtain suffiaient conditions for the oscillation of all solutions of the higher order neutral differential equation -[?At) + P(t) YO -.)I + a t ) Y(t -0 ) = 0, t h to where Our results extend and improve several known results in the literature.