We study the second order Fučík type problem with cubic nonlinearity and construct the Fučík spectrum for this problem. The spectrum obtained under normalization condition (otherwise problem may have continuous spectra) structurally is similar to Fučík spectra for the problem with the same boundary conditions.
Sergejeva, N. (2011). On some fučík type problem with cubic nonlinearity. Mathematical Modelling and Analysis, 16(1), 52-61. https://doi.org/10.3846/13926292.2011.559628
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and construct the Fučík spectrum for this problem. The spectrum obtained under normalization condition (otherwise problem may have continuous spectra) structurally is similar to Fučík spectra for the problem 
with the same boundary conditions.