| 依赖于参数的泛函微分方程正周期解的存在性 |
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| 引用本文： | 张小英. 依赖于参数的泛函微分方程正周期解的存在性[J]. 山西农业大学学报(自然科学版), 2009, 29(2) |
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| 作者姓名： | 张小英 |
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| 作者单位： | 山西农业大学,文理学院,山西,太谷,030801 |
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| 摘 要： | 考虑依赖于参数的泛函微分方程x′(t)=-a(t)g(x(t))x(t)+λb(t)f(t,x(t-τ_1(t)),x(t-τ_2(t)),…,x(t-τ_n(t))).利用不动点定理,得到了上述方程正周期解存在的充分条件。
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| 关 键 词： | 泛函微分方程 不动点定理 正周期解 参数 |
Existence of Positive Periodic Solutions for Functional Differential Equation Depending on Parameter |
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| ZHANG Xiao-ying. Existence of Positive Periodic Solutions for Functional Differential Equation Depending on Parameter[J]. Journal of Shanxi Agricultural University(Nature Science Edition), 2009, 29(2) |
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| Authors: | ZHANG Xiao-ying |
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| Abstract: | Considering functional differential equation depending on parameter x'(t)=-a(t)g(x(t))x(t)+λb(t)f(t, z(t-τ_1(t)),x(t-τ_2(t)),…,x(t-τ_n(t))),by using the fixed point index theorem,the sufficient condition is established for the existence of positive periodic solutions of the above equation. |
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| Keywords: | Functional differential equation The fixed point theorem Positive periodic solutions Parameter |
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