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摘要: |
本文利用Krasnoselskii不动点定理考虑了一类非齐次迭代泛函微分方程x'(t)=c1x(t)+ c2x[2](t)+ F(t)周期解的存在唯一性问题,推广了迭代泛函微分方程周期解的相关理论. |
关键词: 迭代泛函微分方程 周期解 不动点定理 |
DOI: |
分类号:O193 |
基金项目:Supported by National Natural Science Foundation of China (11326120; 11501069); Foundation of Chongqing Municipal Education Commission (KJ1400528; KJ1600320). |
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PERIODIC SOLUTIONS OF A NONHOMOGENEOUS ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATION |
ZHAO Hou-yu
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Abstract: |
In this paper, we use Krasnoselskii's fixed point theorem to study the existence and uniqueness of periodic solutions of a nonhomogeneous iterative functional differential equation x'(t)=c1x(t)+ c2x[2](t)+ F(t), which develops the theory about the periodic solutions of iterative functional differential equation. |
Key words: iterative functional differential equation periodic solutions fixed point theorem |