Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 213, pp. 1-9.

Title: Prufer substitutions on a coupled system involving the p-Laplacian

Author: Wei-Chuan Wang (National Quemoy Univ., Kinmen, Taiwan)

Abstract:
 In this article, we employ a modified Prufer substitution acting
 on a coupled system involving one-dimensional $p$-Laplacian equations.
 The basic properties for  the initial valued problem and some estimates are
 obtained. We also derive an analogous Sturmian theory and give a
 reconstruction formula for the potential function.

Submitted July 12, 2013. Published September 25, 2013.
Math Subject Classifications: 34A55, 34B24, 47A75.
Key Words: Coupled system; p-Laplacian;  Prufer substitution.