New results of periodic solutions for a Rayleigh equation with a deviating argument

作者：Wang Yong^*

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2009, 60(4): 583-593.

DOI：10.1007/s00033-008-7149-4

• Periodic solution
• existence and uniqueness
• deviating argument
• Rayleigh equation
• continuation theorem

In this work, we study the following Rayleigh equation with a deviating argument:
x ''(t) + f(t, x' (t)) + g(t - tau(t)) = e(t).
Some criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation is given by using Mawhin's continuation theorem and some new techniques. Comparing with the previous literature, our results are new and complement some known results.

• 出版日期2009-7
• 单位中国石油大学（北京）; 西南石油大学