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Third-Order BVPs with Φ-Laplacian Operators on [0, +∞)

Volume 16, Number 1 (2013), 1 - 17

Third-Order BVPs with Φ-Laplacian Operators on [0, +∞)

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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 half-line. 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.