文章基本信息

标题：Three positive periodic solutions of second order nonlinear neutral functional differential equations with delayed derivative
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作者：He Yang ; Lu Zhang
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-12
DOI：10.1186/s13662-020-02630-z
出版社：Hindawi Publishing Corporation
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 $(x(t)-cx(t-\delta)){''}+a(t)g(x(t))x(t)=\lambda b(t)f(t,x(t),x(t-\tau_)(t)),x'(t-\tau_,(t)))$. By utilizing the perturbation method of positive operator and Leggett–Williams fixed point theorem, a group of sufficient conditions are established.
关键词：Neutral functional differential equation;Positive periodic solution;Delayed derivative;Cone;Leggett–Williams fixed point theorem;