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- Some efficient tools such as topological degree theory, fixed point theory and lower and upper method have been applied. 使用的主要方法有锥上的不动点理论、拓扑度理论和上下解方法等。
- The researching methods of BVP of difference equations can trace back to those of differential equations. So far many methods and skills have been accepted, such as: critical point theory ,fixed point theory, topological degree theory. 差分方程边值问题的研究来源于微分方程边值问题的研究方法，微分方程边值问题的研究已经有许多方法和技巧，例如：临界点理论、不动点理论、拓扑度理论等等。
- Summarization on Topological Degree Theory 关于拓扑度理论
- 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。
- topological degree theory 拓扑度理论
- According to the extensive theory of topological degree for set-valued mapping ,the authors derive the topological degree for upper semicontinuous set-valued 1-set-contractive mapping. 由集值映射的拓扑度延拓理论,推导出了上半连续集值1-集压缩映射的拓扑度。
- A new existence theorem is obtained by applying the degree theory on cone. 利用锥上的度数理论获得了一个新的存在定理。
- Suffcient conditions for the existence of periodic solution to certain delay cooperative system is established by means of topological degree. 用非线性分析的方法讨论了非自治的二维时滞合作系统,获得了周期正解的存在性定理。
- In this paper, we investigate the homeomorphism for contract-condensing mappings andmonotone mappings by using topological degree. 用拓扑度研究了压缩-紧的同胚映射和单调的同胚映射.
- In this article,we utilize the concept of quai-seMi-norMed faMily [7] to estabalish the topological degree in C-type PN-space,and obtain soMe new fixed point theoreMs. 利用拟半范族[7]的概念建立了C-型PN-空间的拓扑度理论，并得到了几个新的不动点定理.
- Using the method of topological degree, we prove the existences of positive almost periodic solutions for a generalizaed infectious diseases model equation. 摘要给出推广的传染病方程正概周期解存在的一个定理，并用拓扑度方法给出简洁的证明。
- Using the method of supersolution and subsolution and the theory of topology degree,we obtain some existence results of positive solution. 利用拓扑度理论和上、下解方法;得到了几个正解的存在性定理.
- Based on the explosive stress propagation theory and Greffiss rupture crash degree theory, the maxium detonation dose per time is deduced. 根据爆炸应力传播理论和格里菲斯断裂破损度理论，反算最大一次起爆药量；
- In this paper, a class of predator-prey diffusive system of two species with time delay and ratio is studied by the using of coincidence degree theory. 摘要本文研究了一类具有时滞和比率的两种群捕食者-食饵扩散系统。应用重合度理论。得出了该系统正周期存在性与扩散系数无关的新结果。
- Application ol the Topological Degree to Optimal Theory of Large Scale Systems 拓扑度在大系统最优控制理论中的应用
- 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。
- Retract and Computation for Topological Degree 收缩核与拓扑度的计算
- In this paper, using the continuation of coincidence degree theory, we obtain sufficent conditions for the existence of four periodic solutions of the delayed predator-prey system. 摘要文章利用重合度理论中的延拓定理，得到一类具一般时滞离散捕食-被捕食系统四正周期解的存在性的充分条件。
- RELATIVE TOPOLOGICAL DEGREE AND APPLICATION 相对拓扑度及其应用
