JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (6): 109-114.doi: 10.6040/j.issn.1671-9352.0.2019.762

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Existence of positive periodic solutions for a class of non-autonomous fourth-order ordinary differential equations

YANG Hu-jun, HAN Xiao-ling*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-06-01

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Abstract: This paper studies the existence of positive periodic solutions for a class of non-autonomous fourth-order ordinary differential equations u(iv)+pu″+a(x)un-b(x)un+1-c(x)un+2=0,where p≥-1, n is a finite positive integer, a(x), b(x), c(x) are continuous T-periodic functions. By using Mawhins continuation theorem, the existence of positive periodic solutions for this kind of equations is proved.

Key words: fourth-order ordinary differential equation, Mawhins continuation theorem, existence, non-autonomous, positive periodic solution

CLC Number: 

  • O175.14
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