Sensitivity upon the constitutive relations in materials with memory

Consider a semigroup describing the evolution of deformations of an inelastic body. This work investigates the sensitivity of this semigroup with respect to variations of the inelastic constitutive relations, and contains a full well posedness (Lipschitz) result. Particularly relevant is the case of material constants determined experimentally.Received: 24 June 2004, Accepted: 13 November 2004, Published online: 4 March 2005PACS: 74D10 Correspondence to: R.M. Colombo     

关于强可逆半准素序半群

把由G．Thierrin和A．Spoletini-Cherubini等人定义并研究的强可逆半群以及由S．Bogdanovic研究的半准素半群分别推广为强可逆序半群和半准素序半群．分别给出了半准素序半群和强可逆序半群类中的半准素序半群的刻划，还给出了其所有理想是素理想的强可逆序半群的刻划．     

逆半群半格上的自然偏序关系

首先讨论逆半群Sa的半上的自然偏序与各Sa上的自然偏序之间的关系，然后讨论逆半群Sa的半格S的幂等元集Ea的闭包限制在Sa上与Ea的闭包的关系．     

Quantum extensions of semigroups generated by Bessel processes

We construct a quantum extension of the Markov semigroup of the classical Bessel process of orderv≥1 to the noncommutative von Neumann algebra ß(L ²(0, +∞)) of bounded operators onL ²(0, +∞).     

两相同部件冷贮备可修系统解的定性分析

用强连续算子半群理论给出了两相同部件冷贮备可修系统动态非负解的唯一性证明，并证明了0是系统主算子的本征值，给出了0本征值对应的本征向量。     

可换序半群的分式扩张

In this paper we extend the construction of the field of rational numbers from the ring of integers to an arbitrary commutative ordered semigroup.We first construct a fractional ordered semigroup and a homomorphism ψs:R→S-1R.Secondly,we characterize the commutative ordered semigroup so constructed by a universal mapping property.     

Lévy–Khinchin Formula and Existence of Densities for Convolution Semigroups on Symmetric Spaces

We prove the existence of a smooth density for a convolution semigroup on a symmetric space and obtain its spherical representation.      

板几何中具反射边界条件的迁移算子的谱

在LP(1p<∞)空间研究了板几何中一类带反射边界条件具各向异性、连续能量、均匀介质迁移算子的谱,证明了该迁移算子生成C0半群的Dyson-Phillips展开式的二阶余项在LP(1相似文献   

弱P-反演半群上的P-核正规系

In this paper,we first give the concept of weakly P-inversive semigroup S(P).Then we describe the strong P-congruences on S(P)in terms of their P-kernel normal systems.It is proved that there is a bijection between the strong P-congruences and the P-kernel normal systems.Finally,it is also prove that the lattice of strong P-congruences and the lattice of P-kernel normal systems on S(P)are isomorphic.     

Banach空间中的半线性发展方程

讨论了Banach空间X中带有非局部条件的半线性发展方程．在g失去紧性的条件下，利用L^p（I；X）空间中的不动点定理，对边值问题适度解的存在性做了研究，完善和推广了已有结论．最后给出一个在偏微分方程中的例子．