## African Diaspora Journal of Mathematics

### 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.

#### Article information

Source
Afr. Diaspora J. Math. (N.S.), Volume 16, Number 1 (2013), 1-17.

Dates
First available in Project Euclid: 12 August 2013

Mathematical Reviews number (MathSciNet)
MR3091711

Zentralblatt MATH identifier
1283.34019

#### Citation

Djebali, S.; Saifi, O. Third Order BVPs with $\phi$-Laplacian Operators on $[0,+\infty)$. Afr. Diaspora J. Math. (N.S.) 16 (2013), no. 1, 1--17. https://projecteuclid.org/euclid.adjm/1376312565

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