Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators

Makin, Alexander S. and Thompson, H. Bevan (2004) Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators. Electronic Journal of Differential Equations, 2004 87: 1-10.

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Author Makin, Alexander S.
Thompson, H. Bevan
Title Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators
Journal name Electronic Journal of Differential Equations   Check publisher's open access policy
ISSN 1072-6691
1550-6150
Publication date 2004-06-29
Sub-type Article (original research)
Open Access Status File (Publisher version)
Volume 2004
Issue 87
Start page 1
End page 10
Total pages 10
Editor J. G. Dix
Place of publication San Marcos, TX, United States
Publisher Department of Mathematics, Texas State University - San Marcos
Collection year 2004
Language eng
Subject C1
230107 Differential, Difference and Integral Equations
780101 Mathematical sciences
Formatted abstract
It is well known that the classical linear Sturm-Liouville eigenvalue problem is self-adjoint and possesses a family of eigenfunctions which form an orthonormal basis for the space 𝐿2. A natural question is to ask if a similar result holds for nonlinear problems. In the present paper, we examine the basis property for eigenfunctions of nonlinear Sturm-Liouville equations subject to general linear, separated boundary conditions.
Keyword Sturm-Liouville operator
Basis property
Eigenfunction
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

 
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Created: Wed, 15 Aug 2007, 03:34:24 EST