JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 33-41.doi: 10.6040/j.issn.1671-9352.0.2018.707

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Positive periodic solutions for second-order singular differential equations with damping terms

CHEN Rui-peng, LI Xiao-ya   

  1. College of Mathematics and Information Science, North Minzu University, Yinchuan 750021, Ningxia, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: This paper studies the existence of positive periodic solutions of u″+p(t)u'+q(t)u=f(t,u)+c(t), where p,q,c∈L1(R/TZ;R), f is a Carathéodory function and is singular when u=0. By means of the fixed point theory, several existence theorems are established for the above equation, and some recent results in the literature are generalized and improved.

Key words: positive periodic solution, existence, singularity, fixed point theory

CLC Number: 

  • O175.8
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