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J. Korean Math. Soc. 2008; 45(6): 1549-1559
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Multiple periodic solutions of $p$-Laplacian equation with one-side Nagumo condition
Jian Jun Zhang, Wen Bin Liu, Jin Bo Ni, and Tai Yong Chen
China University of Mining and Technology, China University of Mining and Technology, Anhui University of Science and Technology, and China University of Mining and Technology
In this paper, the existence and multiplicity of solution of periodic solutions of $p$-Laplacian boundary value problem are studied by using degree theory and upper and lower solutions method. Some known results are improved.
Keywords: $p$-Laplacian equations, periodic solution, one-side Nagumo condition, multiplicity, upper and lower solutions
MSC numbers: Primary 34C25
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