𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Negativity indices for definite and indefinite Sturm-Liouville problems

✍ Scribed by Paul Binding; Manfred Möller

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
164 KB
Volume
283
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Various notions of indices for definite and indefinite Sturm‐Liouville problems are introduced and relations between them are investigated (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Preconditioning spectral element schemes
Preconditioning spectral element schemes for definite and indefinite problems
✍ Yair Shapira; Moshe Israeli; Avram Sidi; Uzi Zrahia 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 65 KB

Spectral element schemes for the solution of elliptic boundary value problems are considered. Preconditioning methods based on finite difference and finite element schemes are implemented. Numerical experiments show that inverting the preconditioner by a single multigrid iteration is most efficient

Prüfer angle asymptotics for Atkinson's
Prüfer angle asymptotics for Atkinson's semi-definite Sturm–Liouville eigenvalue problem
✍ Paul Binding; Hans Volkmer 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 217 KB

## Abstract Atkinson's semi‐definite Sturm–Liouville problem consists of the differential equation –(__y__ ′/__s__ )′ + __qy__ = __λry__ , with __s__ , __q__ , __r__ integrable on [__a__ , __b__ ], __q__ real‐valued, __s, r ≥__ 0, and separated boundary conditions at __a, b__ . The asymptotic behav

Spectral parameter power series for Stur
Spectral parameter power series for Sturm–Liouville problems
✍ Vladislav V. Kravchenko; R. Michael Porter 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB

## Abstract We consider a recently discovered representation for the general solution of the Sturm–Liouville equation as a spectral parameter power series (SPPS). The coefficients of the power series are given in terms of a particular solution of the Sturm–Liouville equation with the zero spectral