The solvability results are established for the boundary value problem , where x+ = max{x, 0}, x- = max{-x, 0}, h is a bounded nonlinearity. The existence results are based of the knowledge of the spectrum for the problem with h ≡ 0.
Sergejeva, N. (2013). The regions of solvability for some three point problem. Mathematical Modelling and Analysis, 18(2), 191-203. https://doi.org/10.3846/13926292.2013.780189
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, where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity. The existence results are based of the knowledge of the spectrum for the problem with h ≡ 0.