Problem on multiple eigenvalues and positive eigenfunctions for a one-dimensional second-order quasilinear equation

We consider the eigenvalue and eigenfunction problem for a one-dimensional secondorder quasilinear differential equation. We analyze a number of versions of the function f specifying the nonlinearity for which the problem has multiple eigenvalues.

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Bibliographic Details
Published in:Differential equations Vol. 48; no. 8; pp. 1081 - 1089
Main Authors: Kostomarov, D. P., Sheina, E. A.
Format: Journal Article
Language:English
Published: Dordrecht SP MAIK Nauka/Interperiodica 01.08.2012
Springer Nature B.V
Subjects:
Analysis
Difference and Functional Equations
Differential equations
Eigenfunctions
Eigenvalues
Mathematical analysis
Mathematics
Mathematics and Statistics
Neighborhoods
Nonlinearity
Ordinary Differential Equations
Partial Differential Equations
Studies
Multiple Eigenvalue
Nonmonotone Function
Quasilinear Problem
Nonlinear Eigenvalue Problem
Positive Eigenfunctions
ISSN:0012-2661, 1608-3083
Online Access:Get full text
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Description
Summary:We consider the eigenvalue and eigenfunction problem for a one-dimensional secondorder quasilinear differential equation. We analyze a number of versions of the function f specifying the nonlinearity for which the problem has multiple eigenvalues.
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ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266112080034