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- By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function (1.8) and (1.9) was dealt with, the conclusions made in the relevant documents was extended. 利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性问题,推广了相关文献的主要结论。
- By using theory of exponential dichotomies, fixed point theorem and theory of compressed image, the existence and stability of periodic solutions of function were dealt with, the conclusions made in the relevant documents were extended. 利用指数型二分性理论及不动点定理和压缩映像原理研究了一类中立型积分微分方程周期解的存在性,稳定性问题,推广了相关文献的主要结论。
- theory of periodic solution 周期解理论
- The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion. 运用分歧理论、固有值的解析摄动理论和渐近展开的方法,获得了共存时间周期解的存在性和稳定性。
- 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。
- To discuss a type of reaction diffusion system with functional reaction and periodic coefficients.The existence and stability of periodic solution are studied by using the bifurcation theory,linear stability theory and the method of asymptotic expansion. 讨论具有功能反应的一类捕食者-食饵系统的反应扩散方程组.;运用分歧理论、固有值的解析摄动理论和渐近展开的方法;获得了共存时间周期解的存在性和稳定性
- Sufficient conditions are obtained for the global existence of a positive periodic solution of periodic neutral delay predator-prey system by using the method of coincidence degree theory. 利用重合度理论建立了一类周期中立型时滞捕食者-食饵系统正周期解的全局存在性的充分条件.
- 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。
- The existence and uniqueness of periodic solutions are established for a full nonlinear second-order periodic system F(t,?,?)=0 under some natural structure conditions and typical assumption by using the new method based on the viscosity solution theory. 在适当的结构条件和标准假设下;采用基于粘性解理论的新方法;证明了完全非线性二次系统:F(t;x;?;?)=0周期解的存在唯一性.
- Einstein put forward his new theory of relativity. 爱因斯坦提出了相对论的新学说。
- A numeric method evaluating stability degree of periodic solution based on perturbing response data is introduced by the aid of the concept of dynamic systems or flows. 从动力系统流的概念出发,给出了系统稳态周期解稳定度的数值计算方法。
- Einstein's theory of relativity. 爱因斯坦的相对论。
- This article discusses a class of degenerate neutral differential system. Some sufficient conditions of the existence of periodic solution for the system are obtained by using the fixed point theorem. 摘要该文考虑一类退化中立型微分系统,利用不动点定理,得到了这类系统周期解存在的充分条件。
- Do you agree to the wave theory of light? 你同意光的波动理论吗?
- He cavalierly dismisses the theory of both Freud and Jung. 他傲慢武断地斥贬佛洛依德和杨格二人的理论。
- Some solvability conditions of periodic solutions are obtained for a class of first order superquadratic non-autonomous Hamiltonian systems in light of the minimax methods of critical point theory. 摘要运用临界点理论中的极小、极大方法得到一类超二次哈密顿系统的周期解的存在性的存在性定理。
- Darwin put forth the theory of evolution,. 达尔文提出了进化论。
- Multiplicity of periodic solution is obtained for superquadratic nonresonance nonautonomous second order systems (The equation is abbreviated) by Z2 version of the mountain pass theorem. 摘要利用Z2型山路定理获得超二次非共振非自治二阶系统(方程式略)的多重周期解存在定理。
- The existence of periodic solution of singular discrete systemis firstly stud- ied and theorem which periodic solutions of singular discrete systemexist is given. 首次对广义离散系统的周期解的存在性进行研究,给出了广义离散系统周期解存在的判据。
- The existence of periodic solutions of a neutral integro-differential equation with infinite delay was studied. 摘要本文考虑具无穷时滞中立型积分微分方程周期解的存在性。
