JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 1-6.doi: 10.6040/j.issn.1671-9352.0.2018.131

   

Periodic solutions for a class of Kirchhoff-type differential systems

ZHANG Shen-gui   

  1. College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
  • Published:2019-10-12

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Abstract: By using variational principle, the author studied periodic solutions for a class of superlinear Kirchhoff-type p(t)-Laplacian systems. Under the condition of no Ambrosetti-Rabinowitz-type growth, some results for the existence of periodic solutions are obtained by means of a variant mountain pass type theorem.

Key words: Kirchhoff-type equation, p(t)-Laplacian systems, periodic solutions, critical point, mountain pass thoerem

CLC Number: 

  • O175.12
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