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Periodic Boundary Value Problem for a Class of Degenerate Parabolic Equation of Logistic Type

SUN Jiebao1, KE Yuanyuan1,2, LIU Xingdong3   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematics & Computational Science, Sun YatSen University, Guangzhou 510275, China;3. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, Guangdong Province, China
  • Received:2007-04-02 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
  • Contact: KE Yuanyuan

Abstract: Using the Moser iterative technique and the theory of LeraySchauder’s degree, we considered the periodic boundary value problem for a class of degenerate parabolic equation of Logistic type and established the existence of nonnegative nontrivial periodic solutions.

Key words: degenerate parabolic equation, periodic boundary value problem, Logistic type

CLC Number: 

  • O175.8