𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sturm–Liouville problems with singular non-selfadjoint boundary conditions

✍ Scribed by Walter Eberhard; Gerhard Freiling; Anton Zettl

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
200 KB
Volume
278
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Singular boundary conditions are formulated for non‐selfadjoint Sturm–Liouville problems which are limitcircle in a very general sense. The characteristic determinant is constructed and it is shown that it can be used to extend the Birkhoff theory for so called “Birkhoff regular boundary conditions” to the singular case. This is illustrated for a class of singular Birkhoff‐regular problems; in particular we prove for this class an asymptotic formula for the eigenvalues and an expansion theorem. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

A nonself-adjoint singular Sturm–Liouvil
A nonself-adjoint singular Sturm–Liouville problem with a spectral parameter in the boundary condition
✍ Bilender P. Allahverdiev 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract We consider nonself‐adjoint singular Sturm–Liouville boundary‐value problems in the limit‐circle case with a spectral parameter in the boundary condition. The approach is based on the use of the maximal dissipative operator, and the spectral analysis of this operator is adequate for the

Second order problems with functional co
Second order problems with functional conditions including Sturm–Liouville and multipoint conditions
✍ Alberto Cabada; Donal O'Regan; Rodrigo L. Pouso 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract In this paper we study the solvability of equations of the form ‐(d/d__t__)__φ__ (__t, u, u__ (__t__), __u__ ′(__t__)) = __f__ (__t, u, u__ (__t__), __u__ ′(__t__)) for a.e. __t__ ∈ __I__ = [__a, b__ ], together with functional‐boundary conditions which cover, amongst others, Sturm–Li

On a Shooting Algorithm for Sturm-Liouvi
On a Shooting Algorithm for Sturm-Liouville Eigenvalue Problems with Periodic and Semi-periodic Boundary Conditions
✍ Xingzhi Ji 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 266 KB

This paper is concerned with the eigenvalues of Sturm-Liouville problems with periodic and semi-periodic boundary conditions to be approximated by a shooting algorithm. The proposed technique is based on the application of the Floquet theory. Convergence analysis and a general guideline to provide s