微机硬盘引导型病毒的防治技术

论述了计算机病毒的分类及其特点，提出了不进行低级格式化或高级格式化而借助软件来防治引导型病毒的方法。     

椭圆方程的小波修正解法

探讨应用Wavelet-Galerkin方法求解一维椭圆边值问题.根据小波的逼近性及多尺度分析对Wavelet-Galerkin方法进行了修正,得到补充解,进而得到逼近性较好的小波解.数值例子表明此方法的有效性.     

一类半线性椭圆方程的解的凸性

对于半线性二阶椭圆方程,已有多种方法研究其解的凸性。文中主要应用形变技术给出了一类半线性椭圆方程的解的凸性的证明。     

无界域上带临界增长的退缩椭圆方程的非零解

讨论Rn上拟线性临界增长的椭圆方程的非零解的存在性，其中u∈W1，p（RN），2≤p＜N，q＝Np／（N－p）．     

采动裂隙椭抛带内瓦斯运移理论基础

研究采动裂隙椭抛带的基本性质及其采空区瓦斯运移的规律,可以采取有效措施进行瓦斯治理。根据五阳煤矿7601综采工作面上覆岩层的特性与工作面在推进过程中的矿压显现特征,确定了采动裂隙带的高度、切眼上方椭抛带的高度、采动裂隙椭抛带内煤与岩碎胀系数,并计算出其渗透率。该研究为建立数值模拟的分析模型提供依据。     

一类可变权拟线性椭圆型方程解的存在性

文章通过使用山路定理研究了一类可变权拟线性椭圆型方程解的存在性.     

Explicit classification for torsion cyclic subgroups of rational points with even orders of elliptic curves

For elliptic curves E over the rationals Q, the classification according to their torsion subgroups E_tors,(Q) of rational points has been studied. When E_tors, (Q) are cyclic groups with even orders, the classification is given with explicit critria, and the generators of the torsion groups are also explicitly presented in each case. These results, together with the recent results of Ono for the non-cyclic torsion groups, have completely solved the problem of the explicit classification withE being a rational point of order 2.     

Construction of <Emphasis Type="Italic">k</Emphasis>-ary pseudorandom elliptic curve sequences

We present a method for constructing k-ary sequences over elliptic curves.Using the multiplicative character of order k of finite fields,we construct a family of k-ary pseudorandom elliptic curve sequences.The pseudorandom measures,such as the well-distribution measure,the correlation measure of order ■,and the linear complexity are estimated by using certain character sums.Such sequences share the same order of magnitude on the well-distribution measure,the correlation measure of order ■ as the ’truly’ random sequences.The method indicates that it is possible to construct ’good’ pseudorandom sequences over elliptic curves widely used in public key cryptography.     

特殊函数公式校订(二)

在一些常见的经典性著作中,有一些特殊函数公式的表述不尽相同.笔者对其中出现的差错进行了考证,部分公式重新进行了核算.     

一类拟线性合作椭圆系统正解的存在性

利用上下解方法和强极大值原理,证明了一类拟线性合作椭圆系统正解的存在性.