| 一类无限时滞微分方程特定周期解的存在性 |
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| 引用本文： | 丘冠英.一类无限时滞微分方程特定周期解的存在性[J].安徽师范大学学报(自然科学版),2011,34(6):522-526. |
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| 作者姓名： | 丘冠英 |
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| 作者单位： | 嘉应学院数学系,广东梅州,514015 |
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| 摘 要： | 利用相空间的理论和方法,研究了一类无限时滞微分方程:xi '(t)=ωi(t,xi)bi(t,xt) - ai( t,xt)xi(t)-∫t-∞Fi(t,s,x1(s),…,xn(s))ds],(i=1,…,n)特定周期解的存在性,并应用推广了Volterra型积分微分方程的周期解.
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| 关 键 词： | 无限时滞 微分方程 特定周期解 应用推广 |
Existence of Special Periodic Solution for a Kind of Indefinite Delay Differential Equation |
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| QIU Guan-ying.Existence of Special Periodic Solution for a Kind of Indefinite Delay Differential Equation[J].Journal of Anhui Normal University(Natural Science Edition),2011,34(6):522-526. |
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| Authors: | QIU Guan-ying |
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| Institution: | QIU Guan-ying(School of Mathematics,Jiaying University,Meizhou 514015,China) |
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| Abstract: | By use of phase sace theory and method,the existence of special periodic solution for a kind of indefinite delay differential equation:xi′(t)=ωi(t,xi)bi(t,xt)-ai(t,xt)xi(t)-∫-∞t Fi(t,s,x1(s),…,xn(s))ds],(i=1,…,n)And the periodic solution for the Volterra-type integral differential equation was applied and spreaded. |
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| Keywords: | indefinite delay differential equation special periodic solution applied and spreaded |
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