存在性定理

The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

运用分歧理论、隐函数定理以及渐近展开的方法，获得了共存周期解的存在性与稳定性的结果。

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

用Horn渐近不动点定理，给出具非凸右端函数的泛函微分包含问题周期解存在性的一般性结果。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauder's fixed point theorem.

此外，本章还使用Schauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauders fixed point theorem.

此外，、本章还使用Sehauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理，讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性，推广和包含了一些已知的结果。

Are also given by constructing Lyapunov function. Finally, by applying the energy methods, Sobolev embedding theorems and bootstrap arguments, the global existence of nonnegative classical solutions to equations with homogeneous Neumann boundary value condition is proved when the space dimension is at most 5. Under certain conditions for the coefficients of the reaction functions, the convergence of the solutions is established for the system with large diffusion coefficients by constructing Lyapunov function.

的正平衡点全局渐近稳定的充分条件；最后，当空间维数不超过5时，应用能量估计、Sobolev嵌入定理和bootstrap技巧证明在齐次Neumann边值条件下非负古典解的整体存在性，并通过构造Lyapunov函数给出当反应函数的系数满足一定条件、扩散系数较大时该模型解的收敛性。

Finally, the theorems of data confidentiality and origin of confidential data are utilized to reanalyze NSPK protocol, the reason why the attack exists is explained.

最后，应用数据机密性和机密数据起源性定理，重新分析了NSPK协议，说明了其存在攻击的原因。

This paper deals with a class of singular Positone boundary value problems.

对一类具有奇性Positone边界值问题进行了研究，利用非线性二择一不动点定理建立了问题正解的3个存在性原则。

The boundedness of system is proved by the comparative theme of impulsive differential equation, and the local stability of trivial or semi-trivial positive periodic solution (prey annihilation periodic solution) is tested.

利用脉冲微分方程的比较定理，证明了系统的有界性，讨论了平凡周期解与半平凡周期解的局部稳定性，进而利用重合度理论证明了系统周期正解的存在性。

By Independent-subsystem method, the results of existence and global attractivity of a positive periodic solution are obtained.

本文运用重合度理论中的Mawhin延拓定理或系统的持久性结果得到了几类种群生态学模型正周期解的存在性条件；并通过构造Lyapunov泛函(或Razumikhin函数)研究了某些模型正周期解的全局吸引性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。