Nonlinear Spectra for Parameter Dependent Ordinary Differential Equations

Eigenvalue problems of the form x 00 = −λf(x) + µg(x), (i), x(0) = 0, x(1) = 0 (ii) are considered. We are looking for (λ, µ) such that the problem (i), (ii) has a nontrivial solution. This problem generalizes the famous Fuchik problem for piece-wise linear equations. In our considerations functions...

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Bibliographic Details
Main Authors: F. Sadyrbaev, A. Gritsans
Format: Article
Language:English
Published: Vilnius University Press 2007-04-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14715