| 一类泛函微分方程周期正解的个数 |
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| 引用本文： | 韩飞,王全义.一类泛函微分方程周期正解的个数[J].华侨大学学报(自然科学版),2009,30(3). |
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| 作者姓名： | 韩飞 王全义 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州,362021 |
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| 基金项目： | 福建省自然科学基金，国务院侨办科研项目 |
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| 摘 要： | 研究一类带有一个参数的非线性泛函微分方程x'(t)=a(t,x(t))x(t)-λb(t)f(x(t-τ(t)))的周期正解的个数问题.利用锥压缩锥拉伸不动点定理,解决该类方程周期正解的存在问题.给出根据参数判断该类方程存在1个、2个,以及不存在周期正解的充分条件.结果表明,这些充分性条件简单,容易验证.
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| 关 键 词： | 不动点定理 锥 周期正解 泛函微分方程 |
Number of Positive Periodic Solutions for a Class of Functional Differential Equations |
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| HAN Fei,WANG Quan-yi.Number of Positive Periodic Solutions for a Class of Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2009,30(3). |
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| Authors: | HAN Fei WANG Quan-yi |
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| Institution: | School of Mathematics Sciences;Huaqiao University;Quanzhou 362021;China |
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| Abstract: | In this paper,we study a class of non-linear functional differential equations with one parameter.By employing the cone compression and extension fixed point theorem,we solve the existence of positive periodic solutions for this class of equations.Some sufficient conditions which determine the existence of one or two positive solutions and nonexistence of positive periodic solutions for the equation are presented.These conditions are simple and easily verifiable. |
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| Keywords: | fixed point theorem cone positive periodic solution functional differential equation |
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