JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 73-76.doi: 10.6040/j.issn.1671-9352.0.2016.027

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Uniqueness of solution for singular boundary value problems of fourth-order differential equations

  

  1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, Shandong, China
  • Received:2016-01-19 Online:2017-02-20 Published:2017-01-18

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Abstract: We investigate the uniqueness of solution for{x(4)(t)-h(t)f(x(t))=0, 0h(t) is allowed to be singular at both t=0 and t=1. The main novelty of this paper is that the Lipschitz constant is related to the first eigenvalues corresponding to the relevant operators. We show the uniqueness of solution by applying the u0-norm and contraction mapping principle.

Key words: uniqueness of solution, u0-norm, contraction mapping principle, singular boundary value problem

CLC Number: 

  • O175.8
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