Third Order BVPs with $\phi$-Laplacian Operators on $[0,+\infty)$

Abstract

This work deals with the existence of multiple positive solutions for a third order boundary value problem with a $\phi$-Laplacian operator on the halfline. The existence results are obtained both for the regular and the singular cases using the fixed point index theory on a suitable cone of a Banach space. The singularity is treated by an approximation technique and sequential arguments. Examples of applications are included to illustrate the existence results.