【摘要】 利用拓扑度理论和Mawhin’s连续定理,研究了一类带有偏差变元的Laplacian型常微分方程的周期解,使用不等式和分析技巧,建立方程解的存在及唯一性条件.有意思的是,与已有文献相比,用来估计先验界的方法是新的,最后,给出了一个实例,验证了所得结论.更多还原

【Abstract】 By means of topological theory and Mawhin’ s continuation theorem,a kind of Laplacian-like li e nard differential equation with a deviating argument is studied.The authors establish some criteria to guarantee the existence and uniqueness of periodic solutions using some inequalities and mathematical analysis techniques.It is meaningful that,compared with the corresponding ones in the know literature,the approaches uesed to estimate a prior bounds of periodic solutions are essentially new.Moreover,we give an example to illustrate our main results.更多还原