Oscillation and Spectral Properties of a Class of Singular Self-Adjoint Differential Operators
✍ Scribed by Ondřej Došý
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 796 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Oscillation and spectral properties of the one-term differential operator of the form are investigated. It is shown that certain recently established necessary conditions for discreteness a boundedness below of the spectrum of 1 are also sufficient for this property. Some related problems are also investigated.
📜 SIMILAR VOLUMES
We consider not necessarily self-adjoint differential operators generated by ordinary differential expressions of the form My= f: pi(t)y"' on Z=[l, co) (\*) i=O with n = ord(M) E N, pi E ci(Z, C). With A4 + we denote the adjoint expression b!f+y= i (-l)Qi(t)y)(i) i=O and with 7',(M) and T,(M) the mi
## Abstract We study the properties of essential self‐adjointness on __C__^∞^~__c__~ (ℝ^__N__^ ) and semigroup ultracontractivity of a class of singular second order elliptic operators equation image defined in __L__^2^ (ℝ^__N__^ , __σ__^–__a__ –__N__^ (__x__) __dx__) with Dirichlet boundary con