似P-laplacian的Liénard-型微分方程周期解的存在唯一性问题

Existence and Uniqueness of Periodic Solutions for P-Laplacian Like Liénard-type Differential Equation

研究了似P-laplacian的Liénard-型微分方程:(c(t)φp(x′(t)))′+f(x(t))x′(t)+g(t,x(t))=e(t).利用拓扑度理论和一些分析技巧,得到了保证其周期解存在唯一性的一些充分条件.其结果是新的,并且推广了一些已知的结论.

In this paper,the author studies the P-Laplacian like Lienard-type equation （c（t）φ p（x＇（t）））＇＋f（x（t））x＇（t） ＋ g（t,x（t））=e（t）. Some sufficient conditions to guarantee the existence and uniqueness of periodic solutions for this equation are obtained by using topological degree theory and some analysis skills. The new results extend some known conclusions in literatures.