Solvability of second order ordinary differential equations with non-linear boundary conditions
PhD thesis advisor:
PhD thesis – Full text (PDF 1.34 MB)
Synopsis (PDF 709 KB)
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.
 Peres S., Solvability of a nonlinear boundary value problem, Acta Mathematica Universitatis Comenianae 82(1) (2013)
Full text (PDF 623 KB)