Positive non-symmetric solutions of a non-linear boundary value problem

Abstract

This paper deals with 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 provides results concerning the existence and multiplicity of positive non-symmetric solutions for values of parameters not considered before. The main tool is the shooting method.

Keywords

• second order ordinary differential equation
• non-linear boundary condition
• existence and multiplicity of solutions
• shooting method
• time map