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Exact multiplicity results for boundary value problems with nonlinearities generalising cubic

  • Philip Korman (a1), Yi Li (a2) and Tiancheng Ouyang (a3)

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Using techniques of bifurcation theory we present two exact multiplicity results for boundary value problems of the type

The first result concerns the case when the nonlinearity is independent of x and behaves like a cubic in u. The second one deals with a class of nonlinearities with explicit x dependence.

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