一类二阶泛函微分方程周期解的存在性  

The existence of periodic solutions for a class of second order functional differential equations

作　　者：赵杰民[1] 

机构地区：[1]北京联合大学基础部,北京100101

出　　处：《黑龙江大学自然科学学报》2006年第4期447-448,共2页Journal of Natural Science of Heilongjiang University

摘　　要：研究二阶非线性滞后型泛函微分方程¨x(t)+P[x.(t)]+[1+sin2(A x.(t))]R[x(t-r)]=f(t).通过Lyaponov方法给出了ω-周期解的存在性定理和时滞范围的简明表达式,并推广了一些已知结果.The second order nonlinear retarded functional differential equation x^..（t）＋P[x^.（t）]＋[1＋sin^2（A x^.（t））]R[x（t-r）]=f（t） is considered. A theorem on existence of ω - periodic solutions is given by means of the Lyapunov＇ s method. A brief expression about the bound of time - delay is obtained. This obtained result generalizes some known results.

关 键 词：滞后型泛函微分方程 二阶 周期解 

分 类 号：O175.5[理学—数学]