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- W2183660501 abstract "Nonlinear two-point boundary value problems (BVPs) may have none or more than one solution. For the singularly perturbed two-point BVP u 00 + 2u 0 + f (u) = 0, 0 < x < 1, u(0) = 0, u(1) = 0, a condition is given to have one and only one solution; also cases of more solutions have been analyzed. After attention to the form and validity of the corresponding asymptotic expansions, partially based on slow manifold theory, we reconsider the BVP within the framework of small and large values of the parameter. In the case of a special nonlinearity, numerical bifurcation pa tterns are studied that improve our understanding of the multi-valuedness of the solutions." @default.
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- W2183660501 date "2011-01-01" @default.
- W2183660501 modified "2023-09-27" @default.
- W2183660501 title "Multiple solutions of a generalized one-dimensional Bratu problem" @default.
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