We investigate a two‐dimensional differential system of the form x' = f (t, y), y' = h (t, x) together with the boundary conditions x (0) = 0, x (1) = 0 by using the quasilinearization process. We show that if this problem allows for quasilinearization with respect to essentially different linear parts, then it has multiple solutions.
Yermachenko, I. (2008). Multiple solutions of the BVB for two‐dimensional system by extracting linear parts and quasilinearization. Mathematical Modelling and Analysis, 13(2), 303-312. https://doi.org/10.3846/1392-6292.2008.13.303-312
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