广义拟变分不等式解集的稳定性及本质连通区的存在性

在赋范线性空间下．讨论广义拟变分不等式解集的稳定性，证明了满足一定连续性和凸性条件的广义拟变分不等式问题构成的空间M中，大多数(在Baire分类意义下)广义拟变分不等式问题的解集是稳定的，并证明了M中每一个广义拟变分不等式的解集至少存在一个本质连通区。     

拟青霉Paecilomyces Bain.,一类值得关注的真菌资源

真菌资源在现代生物技术的医药、食品、环境工程和生物农药等多个领域发挥着重要作用.本文就拟青霉属中的羽拟青霉Paecilomyces abruptus,肉色拟青霉Paecilomyces carneu,蝉拟青霉Paecilomyces cicadaes,古尼拟青霉Paecilomyces gunnii,爪哇拟青霉Paecilomyces javanicus,淡紫拟青霉Paecilomyces lilacinus,蛹草拟青霉Paecilomyces militaris,中国拟青霉Paecilomyces sinensis,蝙蝠蛾拟青霉Paecilomyces hepiali,细脚拟青霉Paecilomyces tenuipes,宛氏拟青霉Paecilomyces variotii,膨大拟青霉Paecilomyces inflatus,深绿拟青霉Paecilomyces arovirens,粉质拟青霉Paecilomyces farinosus,玫烟色拟青霉Paeciloinyces fumosoroseus和灰绿拟青霉Paecilomyces griseiviridis等在这些领域的研究现状及应用前景进行了综合评述.     

Functional Integral Approach to the Transition Temperature of Attractive Interacting Bose Gas in Traps

The functional integral approach (FIA) is introduced to study the transition temperature of an imperfect Bose gas in traps. An interacting model in quantum statistical mechanics is presented. With the model we study a Bose gas with attractive interaction trapped in an external potential, We obtain the result that the transition temperature of a trapped Bose gas will slightly shift upwards owing to the attractive interacting force. Successful application of the FIA to Bose systems is demonstrated.     

求解非对称线性方程组的QMRGCGS方法

1 引言 求解非对称线性方程组Ax=b的双共轭梯度方法(BCG)[3]和它的变形共轭梯度平方方法(CGS)[6]都有典型的不规则收敛行为,后来Freund和Nachtigal提出一种BCG类方法,即拟极小剩余方法(QMR)[7],用来补救BCG方法的收敛性并且产生了光滑的收敛曲线。然而,象BCG方法一样,QMR方法要用到系数矩阵A及其转置A~T与向量的乘积,为了解决这一问题,Freund提出TFQMR方法,此方法具有拟极小剩余性,同时不需用到A~T与向量的乘积。     

广义向量均衡问题的解与解集的凸性

引进集值映射的锥真拟凹概念，讨论一类具有集值映射的广义向量衡问题解的存在性与解集的凸性。     

Measure Synchronization of High-Cycle Islets in Coupled Hamiltonian Systems

Measure synchronization is a new phenomenon found in coupled Hamiltonian systems recently and it is interesting to understand its properties comprehensively. We discuss the measure synchronization of a coupled pair of standard maps in high period quasi-period orbits, and the measure synchronization transition is associated with the transition of coupled systems from quasi-periodicity to chaos. This behaviour is very different from that found by Hampton and Zanette [Phys. Rev. Lett. 83 (1999) 2179].     

模糊半群上的模糊同余及其扩张

给出模糊半群上的模糊同余的概念，并进一步研究它的一些基本代数性质。同时研究带有模糊半群上的模糊同余扩张性质(FCEPF)的半群类，得到一个半群有模糊半群上的模糊同余扩张性质、有模糊同余扩张性质(FCEP)、有同余扩张性质(CEP)三个条件是等价的。     

二阶拟线性椭圆型方程振动性的积分平均方法

§ 1.　IntroductionThepurposeofthispaperistostudytheoscillatorybehaviorofsolutionsofcertainquasi linearellipticequationsdiv( ｜Du｜m -2 A(x)Du) + p(x) ｜u｜m -2 u=0 ,x∈Ω Rn,(E)whereΩisanexteriordomain ,m >1 ,andfunctionsA(x) ,p(x)aretobespecifiedinthefollowingtext.Recently ,USAMI [6]consideredEq .(E)whenA(x)≡I (identitymatrix) ,andob tainedoscillationcriteriaforEq .(E)with“infiniteintegral”coefficient [cf.[6],Theorem 4].However,asfarasthepresentreferencesisconcerned ,therearefewo…     

Q-正则Loewner空间中的拟对称映射

本文在Q-正则Loewner空间中用环模不等式刻划了拟对称映射.另外,在 Q-维Ahlfors-David正则空间中建立了拟对称映射作用下的Grotzsch-Teichmuller型 模不等式,它是通过伸张系数的积分平均来表示.     

Banach空间中拟-似变分包含解的存在与逼近问题

研究了Banach空间中拟-似变分包含解的存在与逼近问题.给出了一种寻求解的新的迭代算法,建立了具混合误差的Ishikawa型迭代序列强收敛到解的充要条件.所得结果推广了一些相关的结果.