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Zbl 1142.35322
Sun, Jiebao; Jin, Chunhua; Ke, Yuanyuan
Existence of non-trivial nonnegative periodic solutions for a nonlinear diffusion system.
(English)
[J] Northeast. Math. J. 23, No. 2, 167-175 (2007). ISSN 1000-1778

Summary: In this paper, by the method of upper and lower solution, the authors establish the existence of the non-trivial nonnegative periodic solutions for a class of degenerate diffusion system arising from dynamics of biological groups.
MSC 2000:
*35B10 Periodic solutions of PDE
35K50 Systems of parabolic equations, boundary value problems
35K57 Reaction-diffusion equations
35K65 Parabolic equations of degenerate type

Keywords: periodic solution; upper and lower solution

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Scientific prize winners of the ICM 2010
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