三阶非线性微分方程的格林函数和正周期解(英文)  

Green's Function and Positive Periodic Solution for Third-order Nonlinear Differential Equation

作　　者：韩卫卫[1] 

机构地区：[1]商丘学院应用科技学院,河南开封475000

出　　处：《兰州文理学院学报（自然科学版）》2016年第2期1-10,共10页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：给出了三阶非线性微分方程即u'''-a(t)u=f(t,u)的格林函数,其中a和f关于t周期,并利用锥理论给出充分条件,得到了三阶非线性微分方程正周期解的存在性.This paper is to present Green＇s functions and sufficient conditions for the existence of positive periodic solutions to third-order nonlinear differential equations,e.g of the form u＇＇＇-a（t）u=f（t,u）with aand fbeing periodic int.We use new explicit representations of Green＇s functions and fixed-point arguments for auxiliary equations in cones of positive,periodic functions.

关 键 词：三阶非线性微分方程 Green’s函数 周期正解 

分 类 号：O175[理学—数学]