Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1109.34061
Mamedov, Khanlar R.
On a basic problem for a second order differential equation with a discontinuous coefficient and a spectral parameter in the boundary conditions. (English)
[A] Mladenov, Iva\"ilo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2--10, 2005. Sofia: Bulgarian Academy of Sciences. 218-225 (2006). ISBN 954-8495-30-9/pbk

The author considers a Sturm-Liouville problem on a finite interval $[a,b]$ with parameter dependent boundary conditions and an interface condition. The coefficients are such that the problem has a selfadjoint realization in the space $L_2[a,b]\oplus \Bbb C^n$ for $n=2$ or $n=3$ with a definite and indefinite inner product. Then, the standard theory of selfadjoint operators with compact resolvent in Hilbert and Krein spaces, respectively, leads to results on (Riesz) basis property of the eigenvectors (and associated vectors).
[Manfred Möller (Johannesburg)]

MSC 2000:: *34L10 Eigenfunction expansions, etc. (ODE)
34B24 Sturm-Liouville theory
34B10 Multipoint boundary value problems
34B09 Boundary value problems with an indefinite weight

Keywords: Sturm-Liouville problem; completeness; minimality; basis property; parameter dependent boundary condition, interface condition

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]