Jiri Benedikt, Petr Girg
Abstract:
Prufer transformation is a useful tool for study of
second-order ordinary differential equations. There are many
possible extensions of the original Prufer transformation.
We focus on a transformation suitable for study of boundary
value problems for the p-Laplacian in the resonant case.
The purpose of this paper is to establish its basic properties
in deep detail.
Published July 10, 2010.
Math Subject Classifications: 34A12, 34A34, 34B15.
Key Words: Prufer transformation; p-Laplacian; jumping nonlinearity.
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Jiri Benedikt Department of mathematics, Faculty of Applied Sciences University of West Bohemia, Univerzitni 22 306 14 Plzen, Czech Republic email: benedikt@kma.zcu.cz |
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Petr Girg Department of mathematics, Faculty of Applied Sciences University of West Bohemia, Univerzitni 22 306 14 Plzen, Czech Republic email: pgirg@kma.zcu.cz |
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