| 无穷时滞非自治非卷积型微分方程周期解的存在性 |
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| 引用本文： | 杨江山. 无穷时滞非自治非卷积型微分方程周期解的存在性[J]. 辽宁科技大学学报, 2012, 35(2): 137-140 |
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| 作者姓名： | 杨江山 |
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| 作者单位： | 嘉应学院梅州师范分院数学系,广东梅州,514087 |
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| 摘 要： | 利用相空间理论和方法,研究了形如x′(t)=x(t)[a(t)-b(t)x(t)-c(t)y(t)]y′(t)=y(t){-d(t)+∫x-∞K[s,t,x(s),x(t)]ds}无穷时滞非自治非卷积型微分方程周期解的存在性,并给了其性质的二个充要条件.
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| 关 键 词： | 非自治非卷积型微分方程 周期解 无穷时滞 相空间 |
Existence of periodic solutions for a class of non-self-control and non-convolution type differential equations with infinite delay |
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| YANG Jiang-shan. Existence of periodic solutions for a class of non-self-control and non-convolution type differential equations with infinite delay[J]. Journal of University of Science and Technology Liaoning, 2012, 35(2): 137-140 |
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| Authors: | YANG Jiang-shan |
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| Affiliation: | YANG Jiang-shan(Dept.of Mathematics,Meizhou Nomal Branch College Jiaying University,Meizhou 514087,China) |
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| Abstract: | By using the phase space theory and method,the existence of periodic solutions for a class of non-self-control and non-convolution type differential equations with infinite delay is researched,the equations are listed below:x′(t)= x(t)[a(t)-b(t)x(t)-c(t)y(t)] y′(t)=y(t){-d(t)+∫-∞t K[s,t,x(s),x(t)]ds}and two necessary conditions of its property are given. |
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| Keywords: | non-self-control and non-convolution type differential eguation periodic solutions infinite delay phase space |
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