Uniqueness implies existence of solutions for nonlinear point boundary value problems for nth order differential equations.
Ehme, Jeffrey (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ehme, Jeffrey (2009)
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Czechoslovak Mathematical Journal
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We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing...