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| 具状态依赖时滞更一般微分方程周期正解 | |
| 引用本文： | 丘冠英. 具状态依赖时滞更一般微分方程周期正解[J]. 湖北大学学报(自然科学版), 2010, 32(2): 121-126 |
| 作者姓名： | 丘冠英 |
| 作者单位： | 嘉应学院,数学系,广东,梅州,514015 |
| 摘 要： | 利用一不动点定理,对较同类具状态依赖时滞更为一般的非线性微分方程:x′(t)=-a(t,x(t))x(t)+f(t,x(t-1τ(t,x(t))),…,x(t-τm(t,x(t)))),x′(t)=a(t,x(t))x(t)-f(t,x(t-1τ(t,x(t))),…,x(t-τm(t,x(t)))),进一步研究,得到一些保证此类方程存在多个周期正解的充分条件而比相关研究有更好的结果. |
| 关 键 词： | 非线性微分方程 状态依赖时滞 锥 多个周期正解 存在性 全连续算子 不动点定理 |
Positive periodic solutions for a very general functional differential equations |
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| QIU Guanying. Positive periodic solutions for a very general functional differential equations[J]. Journal of Hubei University(Natural Science Edition), 2010, 32(2): 121-126 | |
| Authors: | QIU Guanying |
| Affiliation: | QIU Guanying(Department of Mathematics,Jiaying University,Meizhou 514015,China) |
| Abstract: | The further researching was given by the fixed point theory on the existence of multiple positive periodic solutions of the very general equations in the state-dependent delay： x′（t）=-a（t,x（t））x（t）＋f（t,x（t-τ1（t,x（t）））,…,x（t-τm（t,x（t））））, x′（t）=a（t,x（t））x（t）-f（t,x（t-τ1（t,x（t）））,…,x（t-τm（t,x（t））））. And then obtained some new results which guaranteed the existence of multiple positive periodic solutions of the above equations.The results obtained the better conclusions than relevant study. |
| Keywords: | nonlinear differential equation state-dependent delay cone multiple positive periodic solutions existence completely continuous operator fixed point theory |
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