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Nonlinear spectra: The Neumann problem

Abstract

Eigenvalue problems of the form x” = −λf(x+ + μg(x ), x‘(a) = 0, x' (b) = 0 are considered. We are looking for (λ,μ) such that the problem (i), (ii) has a nontrivial solution. This problem generalizes the famous Fučík problem for piece‐wise linear equations. In our considerations functions f and g may be nonlinear. Consequently spectra may differ essentially from those for the Fučík equation.


First published online: 14 Oct 2010

Keyword : nonlinear spectra, jumping nonlinearity, asymptotically asymmetric nonlinearities, Fučík spectrum, Neumann boundary conditions

How to Cite
Gritsans, A., & Sadyrbaev, F. (2009). Nonlinear spectra: The Neumann problem. Mathematical Modelling and Analysis, 14(1), 33-42. https://doi.org/10.3846/1392-6292.2009.14.33-42
Published in Issue
Mar 31, 2009
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