一类广义平均曲率Liénard方程周期解存在性与唯一性（英文）

Existence and Uniqueness of Periodic Solutions for Prescribed Mean Curvature Liénard Equation with a Deviating Argument

运用Mawhin重合度拓展定理研究了一类广义平均曲率Liénard方程(x')'1+x'2+f(x(t))x'(t)+β(t)g(x(t-τ(t)))=e(t).周期解存在性与唯一性问题,得到了周期解存在性与唯一性的相关新结果.

By using the coincidence degree theory, some new results were established, on the existence and uniqueness of T-periodic solutions for a kind of prescribed mean curvature Lienard equation of the form （x′/√1＋x′^2）′＋f（x（t））x′＋β（t）g（x（t-τ（t）））=e（t）.