New results on the existence and uniqueness of periodic solutions for Lienard type p-Laplacian equation

作者：Gao Fabao^*; Lu Shiping

来源：Journal of the Franklin Institute, 2008, 345(4): 374-381.

DOI：10.1016/j.jfranklin.2007.11.001

• periodic solutions
• p-Laplacian
• topological theory

By means of topological theory, a class of Lienard type p-Laplacian equation with a deviating argument of the form
(phi(p)(x '(t)))' + f(x(t))x '(t) + beta(t)g(x(t - tau(t))) = e(t)
is studied. The authors establish some criteria to guarantee the existence and uniqueness of periodic solutions for the above equation. It is meaningful that, compared with the corresponding ones in the known literature, the approaches used to estimate a prior bounds of periodic solutions are essentially new.

• 出版日期2008-7
• 单位安徽师范大学