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- A delayed nonautonomous ratio-dependent predator-prey system is investigated. By using the continuation theorem of coincidence degree theory, sufficient conditions are derived for the existence of periodic solution in the system. 研究了一类基于比率和具有时滞的非自治的捕食者食饵系统。利用重合度理论,得到了该系统周期解存在性的充分条件。
- The continuation theorem of coincidence degree theory and analysis techniques are applied to study the existence and global exponential stability of periodic solutions of BAM neural networks with distributed delays. 摘要讨论了具有分布时滞的双向联想记忆(BAM)神经网络的动力学行为。利用迭合度理论的延拓定理和分析技巧,得到了周期解的存在性和全局稳定性的充分条件,对设计这种类型的神经网络具有重要意义。
- In the first chapter, the preliminary knowledge which is necessary in the paper is given. The basic concepts of matrix pencil, the Drazin inverse, Fred-holm mapping, Continuation theorem, Arzela-Ascoli theorem and matrix measure are introduced. 第一章给出本文所必需的预备知识,介绍了矩阵束与Drazin逆的概念,Fredholm算子的定义,延拓定理,Arzela-Ascoli定理及矩阵测度的基本知识。
- By using the continuation theorem of topology degree theory and properties of nonsingular M-matrix, we obtain sufficient conditions for the existence of positive periodic solutions of this system. 利用拓扑度理论中的连续定理以及M-矩阵的性质获得了该系统正周期解存在的充分条件。
- continuation theorem of the coinci-dence degree 一致度量理论
- Leray Schauder continuation theorem Leray-Schauder原理
- Leray-Schauder continuation theorem Leray-Schauder原理
- Lery-Schauder continuation theorem Lery-Schauder连续定理
- Heine theorem and the continuity theorem of inverse function are two important ones. This paper tries to describe them and makes some imporvcmcnts in order to appil them conveniently. 海涅(Heine)定理及反函数连续性定理是数学分析中的两个重要定理,本文试图对它们的描述加以改进,以方便应用。
- This road is a continuation of the motorway. 这条公路是高速公路的延伸。
- Unique Continuation Theorem for Maxwell's Equations and Wave Equation 麦克斯韦方程和波动方程的唯一延拓定理
- An automatic continuity theorem of matrix mappings 一个矩阵映象的自连续性定理
- Leray-Schauder continuous theorem Leray-Schauder原理
- He argued for a continuation of the search. 他主张继续搜查。
- Geology here passes over the continuation of the history of man to Archeology. 地质学在此把人类历史的延续移交给考古学。
- Continuity Theorem for a Class of Integral Depending on a Parameter 一类含参积分的连续性定理
- Let us restate the assertions above as a theorem. 我们把上述的断言重新表述为一个定理。
- The Baltic Sea is a continuation of the North Sea. 波罗的海是北海的延续。
- The second proof of Theorem 26 is due to James. 定理26的第二个证明属于詹姆斯。
- Theorem g is called binomial theorem. 定理g称为二项式定理。