Existence and Continuous Dependence of Mild Solutions for Some Fractional Neutral Differential Equations with Nonlocal Initial Conditions

The existence,uniqueness,and continuous dependence to the mild solutions of the nonlocal Cauchy problem were proved for a class of semilinear fractional neutral differential equations. The results are ...     

Optimal dividend strategies in a double compound poisson risk process

In this paper, we consider a double compound Poisson risk model involving two independent classes ofinsurance risks with a threshold dividend strategy. We derived the integro-differential equations (IDE) with certain boundary conditions for the present value of dividends until ruin. When the claims from both classes are exponentially distributed, we show that the threshold dividend strategy is an optimal dividend strategy.     

种群细胞增生中迁移方程的研究进展

介绍了近年来国际上种群细胞增生中的迁移方程的研究进展,主要阐述了这类迁移方程解的构造性理论及应用等研究成果。     

On the Equivalent Keys in Multivariate Cryptosystems

The number of equivalent keys in multivariate cryptosystem is closely related to the scheme security. This study analyzes the structure of the private key space in some multivariate schemes.The result gives the lower bounds on the number of equivalent keys of some variants of the hidden field equation (HFE) scheme including plus, minus-plus, embedding, and internal perturbation. This method estimates the number of invertible transformations which maintain the form of the central map invariant. Furthermore,a formal proof shows that the two modifications of fixing and embedding are equivalent in security analyses of multivariate schemes. Also this paper corrects previous proofs in Wolf’s work on the number of equivalent keys in HFEv,the unbalanced oil and vinegar (UOV) scheme, and the stepwise triangular systems (STS).     

P（x）-Laplacian方程爆破解的存在性及渐近行为

通过对Kelle卜Osserman条件进行简化得到了一类p（x）-Laplacian方程边界爆破解的存在性，该方程变形为径向对称形式，经一系列推导运算，给出了边界爆破解的渐近性质．     

多时滞二阶中立型方程的振动性（英文）

利用积分平均技巧,得到了二阶中立型Emden-Fowler方程振动的充分条件,结果推广并改进了一些已有的结果。     

MBBM方程和Vakhnenko方程的新精确解

应用新的修改的代数方法，求出MBBM方程和Vakhnenko方程的新精确解．这些解中包含有三角函数解、Jacobi椭圆函数解等．     

一类带有黏性项的强阻尼耦合波动方程弱解的存在性

运用迦辽金方法研究一类带有黏性项的强阻尼耦合波动方程的弱解的存在性.     

一种特殊跳跃-扩散过程的欧式期权定价研究

当股票市场受到冲击时，股票价格会呈现跳跃-扩散现象，但由于市场规律，股票价格会很快趋于相对稳定状态．本文把股票价格受到冲击后的跳和最终趋于稳定的这个过程视为一次特殊的跳过程，并基于此过程得出欧式期权的定价公式．     

一次同余式组的两种求解方法

运用矩阵的初等变换法和不定方程求解法,给出了求解同余式组的两种简便方法.