Open Access Research

Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations

Jin Li1,2* and Zaihong Wang1

Author Affiliations

1 School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

2 College of Science, Jiujiang University, Jiujiang, 332005, China

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Boundary Value Problems 2012, 2012:109 doi:10.1186/1687-2770-2012-109

Published: 9 October 2012

Abstract

By means of the Leray-Schauder degree theory, we establish some sufficient conditions for the existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations.

MSC: 34C25, 34D40.

Keywords:
prescribed mean curvature Rayleigh equation; anti-periodic solutions; Leray-Schauder degree