Solvability of second order ordinary differential equations with non-linear boundary conditions
Sámuel Peres
PhD thesis advisor: Marek Fila

PhD thesis – Full text    (PDF 1.34 MB) pdf
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Summary: This thesis deals with the existence and multiplicity of positive and sign-changing solutions of a non-linear second order ordinary differential equation with symmetric non-linear boundary conditions, where both of the non-linearities are of power type. It extends known results to a larger set of parameters, as well as provides answers to two long-standing open questions. The main tool is the shooting method.
Related papers
[1] Peres S., Solvability of a nonlinear boundary value problem, Acta Mathematica Universitatis Comenianae 82(1) (2013)
Full text    (PDF 623 KB) pdf