一类非线性泛函微分方程多个正周期解的存在性  

Multiple positive periodic solutions for a class of nonlinear functional differential equations

作　　者：白星华 

机构地区：[1]阳泉师范高等专科学校数学系,山西阳泉045200

出　　处：《湖南文理学院学报（自然科学版）》2017年第3期1-3,共3页Journal of Hunan University of Arts and Science(Science and Technology)

摘　　要：用A Very-Henderson不动点定理考虑一类带有时滞的泛函微分方程多个正周期解的存在性问题,得到此类方程存在多个正周期解的充分条件,并获得了这些正周期解的一些性质。在现有研究的基础上,推广了此类泛函微分方程的形式,放宽了存在多个正周期解这一结论成立的条件,扩大了正周期解存在性证明的适用范围。The existence of multiple positive periodic of a class of functional differential equation is explored with delay pan by using the A very-Henderson fixed point theorem. Sufficient conditions for the existence of multiple positive periodic solutions and some properties of these periodic solutions are obtained. On the basis of existing research, the functional differential equation of the form is generalized, and the establishment condition of the multiple positive periodic is relaxed, which expands the scope of the proof of the existence of the positive periodic solution.

关 键 词：泛函微分方程 正周期解 不动点定理 

分 类 号：O175[理学—数学]