Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (2): 454-462.

Previous Articles     Next Articles

Nondegeneracy and Uniqueness of Periodic Solution for Third-Order Nonlinear Differential Equations

Shaowen Yao,Wenjie Li,Zhibo Cheng*()   

  1. School of Mathematics and Information Science, Henan Polytechnic University, Henan Jiaozuo 454003
  • Received:2021-04-16 Online:2022-04-26 Published:2022-04-18
  • Contact: Zhibo Cheng E-mail:czb_1982@126.com
  • Supported by:
    the NSFC(11501170);the Scientific and Technological Innovation Talent Project for the Universities of Henan Provience(21HASTIT025)

Abstract:

In this paper, we study the nondegeneracy of periodic solution for a third-order linear differential equation By the Writinger inequality, we give a nondegeneracy condition of the above equation. By the nondegeneracy of third-order linear differential equation, we consider the existence and uniqueness of periodic solution third-order nonlinear differential equation with semilinear and superlinear terms.

Key words: Periodic solution, Nondegeneracy, Semilinear, Superlinear, Existence and uniqueness

CLC Number: 

  • O175.2
Trendmd