𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Oscillation and spectral properties of self-adjoint differential operators

✍ Scribed by Ondřej Došlý

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
407 KB
Volume
30
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

In this contribution we investigate oscillation and spectral properties of self-adjoint differential operators of the form r~ M(y

' + L~o~(I).

where t C I := [a, co), r~ > 0 and r0 .... ,m-l, 77

Oscillation and nonoscillation of (1.1) are defined using the concept of conjugate points. Two

📜 SIMILAR VOLUMES

Oscillation and Spectral Properties of a
Oscillation and Spectral Properties of a Class of Singular Self-Adjoint Differential Operators
✍ Ondřej Došý 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 796 KB

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 i

Spectral properties of not necessarily s
Spectral properties of not necessarily self-adjoint linear differential operators
✍ Bernd Schultze 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 828 KB

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