Electron. J. Diff. Equ., Vol. 2013 (2013), No. 213, pp. 1-9.

Prufer substitutions on a coupled system involving the p-Laplacian

Wei-Chuan Wang

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.

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Wei-Chuan Wang
Center for General Education, National Quemoy University
Kinmen, 892, Taiwan
email: wangwc72@gmail.com

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