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November  2005, 5(4): 1005-1014. doi: 10.3934/dcdsb.2005.5.1005

Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

Rui Huang 1, , Yifu Wang 2, and  Yuanyuan Ke 1,

1. 

Department of Mathematics, Jilin University, 130012 Changchun, China, China
2. 

Department of Mathematics, Beijing Institute of Technology, 100081 Beijing, China

Received  November 2004 Revised  April 2005 Published  August 2005

In this paper, we establish the existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms by using the theory of Leray-Schauder's degree.
Keywords: degenerate equation, nonlocal term, Leray-Schauder's degree..
Mathematics Subject Classification: 35K57, 35K65, 35B1.
Citation: Rui Huang, Yifu Wang, Yuanyuan Ke. Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. Discrete & Continuous Dynamical Systems - B, 2005, 5 (4) : 1005-1014. doi: 10.3934/dcdsb.2005.5.1005
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