期刊论文详细信息
Advances in Difference Equations | |
Three positive periodic solutions of second order nonlinear neutral functional differential equations with delayed derivative | |
article | |
Yang, He1  Zhang, Lu1  | |
[1] College of Mathematics and Statistics, Northwest Normal University | |
关键词: Neutral functional differential equation; Positive periodic solution; Delayed derivative; Cone; Leggett–Williams fixed point theorem; | |
DOI : 10.1186/s13662-020-02630-z | |
学科分类:航空航天科学 | |
来源: SpringerOpen | |
【 摘 要 】
This paper deals with the existence of three positive periodic solutions for a class of second order neutral functional differential equations involving the delayed derivative term in nonlinearity $(x(t)-cx(t-\delta)){''}+a(t)g(x(t))x(t)=\lambda b(t)f(t,x(t),x(t-\tau_{1}(t)),x'(t-\tau_{2}(t)))$. By utilizing the perturbation method of positive operator and Leggett–Williams fixed point theorem, a group of sufficient conditions are established.
【 授权许可】
CC BY
【 预 览 】
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