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Multiple solutions of the BVB for two‐dimensional system by extracting linear parts and quasilinearization
2008
Mathematical Modelling and Analysis
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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.
doi:10.3846/1392-6292.2008.13.303-312
fatcat:c2grnapxl5eklcot22l7covgyy