Let A is a real n-by-n matrix.
This section is devoted to the investigation of the following set
where
References
[NFS00]
K. Ben-Naoum and C. Fabry and D. Smets, Resonance with respect to the Fucik spectrum, Electron. J. Differential Equations 2000 (2000), No. 37, pp. 1--21.
[F76]
S. Fucik, Boundary value problems with jumping nonlinearities, Casopis pro pest. mat. (1976), pp. 69--87.
[HN08]
G. Holubova and P. Necesal, Nontrivial Fucik spectrum of one non-selfadjoint operator, Nonlinear Anal. 69 (2008), pp. 2930--2941.
[HN09]
G. Holubova and P. Necesal, Nonlinear four-point problem: Non-resonance with respect to the Fucik spectrum, Nonlinear Anal. 71 (2009), pp. 4559--4567.
[MM97]
C. A. Margulies and W. Margulies, An example of the Fucik spectrum, Nonlinear Anal. 29 (1997), No. 12, pp. 1373--1378.
[MM99]
C. A. Margulies and W. Margulies, Nonlinear resonance set for nonlinear matrix equations, Linear Algebra and its Appl. 293 (1999), No. 1--3, pp. 187--197.
[N01]
P. Necesal, On the Resonance Problem for the 4th Order Ordinary Differential Equations, Fucik's Spectrum, Archivum Mathematicum, CDDE 2000 issue 36 (2000), pp. 531--542.
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