JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (08): 72-77.doi: 10.6040/j.issn.1671-9352.0.2014.485

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Existence of solutions for singular φ-Laplacian of periodic boundary value problems

XU Man   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2014-11-04 Online:2015-08-20 Published:2015-07-31

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Abstract: We consider the existence of solutions for singular φ-Laplacian of periodic boundary value problems
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where φ:(-a,a)→R(0< a <+∞) is an increasing homeomorphism such that φ(0)=0, g∈ C(R,R), e∈C[0,T], and s is a parameter. The proof of the main result is based on the continuation theorem and Leray-Schauder degree arguments.

Key words: periodic boundary value problems, continuation theorem, Leray-Schauder degree, φ-Laplacian

CLC Number: 

  • O175.8
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