q-致光滑Banach空间中非线性φ-强伪压缩映射和强增生映射的Ishikawa迭代过程

在q（≥2）一致光滑的实Banach空间中,研究了一类非Lipschitz,非值域有界的φ－强伪压缩映射和φ－强增生映射的Ishikawa迭代收敛问题,所得结果扩展了该领域目前所有的相关结果,因而在目前更具有一般性和广泛性．     

关于三个非扩张映射收敛于其公共不动点的具误差的三重迭代法

在一致凸Banach空间中,研究了关于三个不同非扩张映射的具误差的三步迭代算法,并在一定条件下证明了此迭代序列收敛于其公共不动点的弱强收敛定理.     

Two-mode squeezed state of nanomechanical resonators

In this paper, we introduce a flexible model for the control and measurement of NAMRs （nanomechanical resonators）. We obtain the free Hamiltonian of the dcSQUID （direct current superconducting quantum interference device） and the interaction Hamiltonian between these two NAMRs and the dc-SQUID by introducing the annihilation and creation operators under the rotating wave approximation. We can treat the mode of the dc-SQUID as a classical field. In the Heisenberg picture, the generation of two-mode squeezed states of two nanomechanical resonators is shown by their collective coordinate and momentum operators.     

Refractive index sensor based on a step index multimode polymer optical fiber with a micro-hole created by a miniature numerical control machine

A compact in-fiber refractive index (RI) sensor based on a step index multimode polymer optical fiber with a micro-hole drilled by a miniature numerical control machine is presented. A good linear relationship between the transmission and RI over a large operating range from 1.335 to 1.475 and a sensitivity of 36 071.43 mV/RIU (RI unit) are found. The relationship between the transmission and the RI of the hole depends on the micro-hole’s diameter and depth. The RI sensor developed in this letter is low-cost, easily fabricated, and capable of continuous measurement.     

含(M)型算子的变分不等式解的存在性及应用

中X是自反Banach空间，K是X的有界、闭、凸子集。研究包含（M）型算子的变分不等式问题：A↑f∈X,求u∈K，使（w-f,v-u)≥0，w∈Tu。其中T是一个有限连续．（M）型、有界集值映射。利用KKM映射和Gwinner定理，我们得到了该变分不等式可解性的结果。最后讨论了这样的变分不等式它的应用。     

Banach空间中m-增生、奇算子的映射定理

利用连续线性泛函满足的某些条件,给出了关于ｍ－增生、奇算子的一些映射结果,这些结果是对已有文献中相应结果的改进．其中第二节中考虑了算子的奇性,运用Ｂｏｒｓｕｋ定理得出了ｍ一增生、奇算子的映射定理;在第三节中讨论了凝聚映射的相应结果．     

Banach空间中m—增生、奇算子的映射定理

利用连续线性泛函满足的某些条件,给出了关于m-增生,奇算子的一些映射结果,这些结果是对Kartsatos and HE Zhen中相应结果的改进,其中第二节中考虑了算子的奇性,运用Borsuk定理得出了m-增生,奇算子的映射定理,在第三节中讨论了凝聚映射的相应结果。     

纳米力学共振腔的双模压缩态研究

引入了一个方便的控制和测量纳米力学共振腔(NAMRs)的模型.在旋波近似下引入产生、湮灭算符,得到dc-SQUID的自由Hamilton量和dc-SQUID与两个纳米力学共振腔之间的相互作用Hamilton量,在Heisenberg表象下,把dc-SQUID的模看作一个经典场,采用共同坐标算符和动量算符发现两个纳米力学共振腔的双模会产生压缩态.