一类高阶微分方程第二特征值的上界

本文研究形如（１．１）的第二特征上界问题,得到了定理１ 和定理２,其中定理１ 的估计系数与［ａ,ｂ］无关,定理２ 的结果在一定条件下比定理１ 好．     

G-凸空间中的KKM定理，匹配定理和截口定理

在G-凸空间中证明了一些新的KKM型定理．作为应用,在G-凸空间中得到了一些新的匹配定理和截口定理,所得结果改进和推广了[2,3,7]中的相关结果．     

拓扑空间中的一个非空交定理及其应用

在FC-空间中证明了一新的非空交定理．作为应用，一不动点定理，一极大元定理，一重合点定理和一些极小极大不等式被证明．这些定理推广了近期文献中的结果．     

FC-空间中的极大极小不等式及其等价形式

应用非空交定理,在FC-空间中证明了几个极大极小不等式,推广了有关文献中的相应结果．同时给出了与极大极小不等式等价的形式,如截口定理、不动点定理和极小元定理等．     

插补空间的逼近外推定理

本文建立了拟模Abelian群上双参数算子族逼近的外推定理,所得的结果包含了DeVoreR．等人对正规逼近族之最佳逼近所建立的外推定理,且所需的条件更弱．同时从本文的结果立即可以建立起算子逼近的外推定理．     

乘积拓扑空间内的重合点组定理及应用(Ⅱ)

应用(Ⅰ)中得到的定义在非紧FC-空间的乘积空间上的两簇集值映射的重合点定理,在FC-空间内对矢量平衡问题组、不等式组和极小极大定理组建立了一些新的存在性定理．这些结果推广了最近文献中某些已知结果．．     

拓扑空间中Fan-Browder映射的连续选择定理及其应用

首先,在不具有任何凸性结构的拓扑空间中引入Fan-Browder映射的概念．然后,证明了一个新的关于Fan-Browder映射的连续选择定理,其中定义域是非紧的,值域是不具有任何凸性结构的拓扑空间的子集．作为应用,给出了一些不动点定理、叠合点定理和一个非空交定理．这些新的概念和定理统一和推广了许多已有的结果．     

Banach空间一类Lipschitz映射不动点的迭代逼近

文章利用正规对偶映射的定义,给出了任意Banach空间Lipschitz强伪压缩映射不动点的Ishikawa迭代收敛定理．该定理不仅推广了已知结果,而且还简化了目前相应结果的证明．     

一类二阶系统的定性分析

本文借助于Liapunov第二方法获得了一类二阶系统的若干定理,并推广了[1]的结果．应用获得的定理还解决了实际问题．     

关于微分包含的周期解及其应用

研究了一类发展包含的周期问题,其结果应用于建立一类半线性微分包含周期解的存在性定理．给出了半线性微分包含端点解的存在性定理和强松驰定理,并且应用于周期反馈控制系统．     

Optimization of Nonlinear Systems of Stochastic Difference Equations

We present new results concerning the synthesis of optimal control for systems of difference equations that depend on a semi-Markov or Markov stochastic process. We obtain necessary conditions for the optimality of solutions that generalize known conditions for the optimality of deterministic systems of control. These necessary optimality conditions are obtained in the form convenient for the synthesis of optimal control. On the basis of Lyapunov stochastic functions, we obtain matrix difference equations of the Riccati type, the integration of which enables one to synthesize an optimal control. The results obtained generalize results obtained earlier for deterministic systems of difference equations.     

Oscillations of solutions of second order quasilinear differential equations with impulses

Some Kamenev-type oscillation criteria are obtained for a second order quasilinear damped differential equation with impulses. These criteria generalize and improve some well-known results for second order differential equations with /and without impulses. In addition, new oscillation criteria are also obtained to generalize and improve known results. Two examples of applications are given to illustrate the theory.     

Some critical point theorems and their applications to periodic solution for second order Hamiltonian systems

Some critical point theorems without the compactness assumptions are obtained by the reduction method, the perturbation argument and the least action principle. As applications, some existence results of periodic solutions are obtained for nonautonomous second order Hamiltonian systems, which unify and generalize some recent corresponding results.     

Replication results for certain combinatorial configurations

Using matrix theoretic methods, bounds are obtained on the number of replications in certain combinatorial designs, some of which generalize previous results for multiplicative designs and λ-designs.     

同分布ρ混合序列的矩完全收敛性

获得了同分布ρ混合序列的矩完全收敛性成立的充分必要性条件,推广和改进了已有的结果.     

Multi Fuzzy Fractal Theorems in Fuzzy Metric Spaces

The Hutchinson-Barnsley (HB) operators are studied for multi iterated function system in a general setting. Some existence and uniqueness results are obtained in fuzzy fractal and multi fuzzy fractal spaces. From them, we obtain our results, which generalize some recent results in the literature.     

空间中混合单调脉冲微分-积分方程解的存在性

利用两个新的比较结果，本文给出了Banach空间中混合单调脉冲微分-积分方程解，最小最大耦合解的存在性及单调迭代方法，改进和推广了[1-5]的相应结果．     

Oscillation properties of nonlinear impulsive delay differential equations and applications to population models

Comparison theorem and explicit sufficient conditions are obtained for oscillation and nonoscillation of solutions of nonlinear impulsive delay differential equations which can be utilized to population dynamic models. Our results in this paper generalize and improve several known results.     

Common Fixed Point Theorems and Q-prop erty for Quasi-contractive Mappings under c-distance on TVS-valued Cone Metric Spaces without the Normality

Fixed point and common fixed point results for mappings satisfying quasi-contractive conditions expressed in the terms of c-distance on TVS-valued cone met-ric spaces (without the underlying cone which is not normal) are obtained, and P-property and Q-property for mappings in the terms of c-distance are discussed. Our results generalize and improve many known results.     

Banach空间中混合单调脉冲微分-积分方程解的存在性

本文给出了Banach空间中混合单调脉冲微分-积分方程解、耦合最小最大解的存在性定理及单调迭代方法,改进和推广了[1]-[4]的相应结果．