| 一阶泛函微分方程变号周期解的存在性 |
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| 引用本文： | 康淑瑰. 一阶泛函微分方程变号周期解的存在性[J]. 山西大同大学学报(自然科学版), 2014, 0(1): 1-3,7 |
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| 作者姓名： | 康淑瑰 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西大同037009 |
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| 基金项目： | 山西大同大学博士科研启动基金项目[2010-B-01];国家自然科学基金项目[11271235] |
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| 摘 要： | 利用不动点理论,讨论如下方程y（t）=-a（t）y（t）＋f（t,y（t-τ（t）））变号周期解的存在性,给出方程三个非零变号周期解的存在性,其中一个是正的,一个是负的,另一个是变号的。
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| 关 键 词： | 一阶泛函微分方程 锥 e-连续 变号周期解 不动点定理 |
On Sign-changing Periodic Solutions for First Order Functional Differential Equations |
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| KANG Shu-gui. On Sign-changing Periodic Solutions for First Order Functional Differential Equations[J]. Journal of Shanxi Datong University(Natural Science Edition), 2014, 0(1): 1-3,7 |
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| Authors: | KANG Shu-gui |
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| Affiliation: | KANG Shu-gui (School of Mathematics and Computer Science, Shanxi Datong University, Datong Shanxi, 037009) |
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| Abstract: | In this paper, the existence of sign-changing periodic solutions for first order functional differential equations of the form y（t）=-a（t）y（t）＋f（t,y（t-τ（t））） is considered by using the fixed point theorems. The main results are some new three-solution theorem, which are different from the results in [3,4]. These three solutions are all nonzero. One of them is positive, another is negative, and the third one is a sign-changing solution. |
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| Keywords: | first order functional differential equations cone e-continuous sign-changing periodic solution fixed point theorem |
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