Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7221893 | Nonlinear Analysis: Real World Applications | 2019 | 15 Pages |
Abstract
In this paper, the problem of periodic solutions is studied for Liénard equations with anindefinite singularity xâ²â²(t)+f(x(t))xâ²(t)+Ï(t)xm(t)âα(t)xμ(t)=0,where f:(0,+â)âR is a continuous function which may have a singularity at the origin, the signs of Ï andα are allowed to change, m is a non-negative constant, and μ is a positive constant. The approach is based on a continuation theorem of Manásevich and Mawhin with techniques of a priori estimates. The main results partly answer the open problem proposed by R. Hakl, P.J. Torres and M. Zamora in the known literature.
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Authors
Shiping Lu, Yuanzhi Guo, Lijuan Chen,