p-Laplace方程正解的存在性和多重性

这篇文章讨论边值问题-(| u′|p-2u′)′=λf(t ,u) ,t∈(0,1) ,p >1,u(0) =u(1) =0,其中f(t ,u)≥-M( M是正常数) ,对(t ,u)∈0,1×0,∞) .我们利用度理论和锥上的不动点定理得到方程存在两个正解.     

一维链配位聚合物[Mn(acacen){N(CN)2}]n的合成、结构和性质的研究(英)

The manganese(Ⅲ) complex [Mn(acacen){N(CN)₂}]_n [H₂acacen=bis(acetylacetone)ethylenediimine] has been synthesized and the structure has been determined. The complex forms a one-dimensional chain structure via the bidentate bridge ligand μ_1,5-[N(CN)₂]^- linking [Mn(acacen)] moiety. The magnetic property of the compound (75～300 K) shows the existence of an antiferromagnetic exchange interaction among paramagnetic centers along the chain. CCDC: 244940.     

一维链状锰(Ⅱ)三氮唑配合物的合成，结构与磁性质(英)

A novel one-dimensional chain manganese(Ⅱ) compound [Mn(trz)₂Cl][phthH], (trz=1,2,4-triazole, phthH=hydrogen phthalate), 1, was synthesized and structurally characterized. It crystallizes in monoclinic system, space group P2 /c with a=1.381 1(11) nm, b=0.815 5(7) nm, c=0.735 4(6) nm, β=94.667(15)°, V=0.825 5(12) nm³. It consists of one dimensional cationic manganese(Ⅱ) chain and uncoordinated hydrogen phthalate anions. The manganese(Ⅱ) ions are bridged with two 1,2,4-traizoles and one chloride anion along the cationic chain, in which the weak antiferromagnetic exchange occurs between manganese(Ⅱ) atoms. CCDC: 267461.     

一维链状冠醚配合物:[{Na(18-C-6)}2(H2O)]n[M(SCN)4]n(M=Pd、Pt)的合成与结构

The reactions of 18-crown-6 with Na₂[M(SCN)₄] (M= Pd,Pt) were studied and the complex 1 [{Na(18-C-6)}₂(H₂O)]_n[Pd(SCN)₄]_n and complex 2 [{Na(18-C-6)}₂(H₂O)]_n[Pt(SCN)₄]_n were characterized by ele-mental analysis, IR and X-ray diffraction analysis. The complexes belong to monoclinic, space group P2₁/n with cell dimensions, 1:a=1.05734(7),b=1.42250(10),c=1.47762(10) nm,β=107.5330(10)°,V=2.1192(2)nm³,Z=2,D_calcd=1.460g·cm^-3,F(000)=964,R₁=0.0406,wR₂=0.1264 and 2:a=1.05985(19),b=1.4237(3),c=1.4744(3) nm,β=107. 096(3)°, V=2.1264(7)nm³,Z=2,D_calcd=1.690g·cm^-3,F(000)=1028,R₁=0.0292,wR₂=0.0859. In the solid state, the complexes 1 and 2 show an one-dimensional chain of [{Na(18-C-6)}₂(H₂O)]²⁺ complex cations and [M(SCN)₄]^2- (M=Pd,Pt) complex anions bridged by Na-N in-teractions.     

Horseshoe effect and topological entropy of one-dimensional maps

Abstract. In this paper, for any continuous function     

硫化聚乙炔结构对其电子性能的影响

本文用硫原子和共轭多烯的复合物模拟硫化聚乙炔结构,并采用一维紧束缚的LCAO-SCF-MO法,探讨了硫化聚乙炔结构对其电子性能的影响,揭示出影响的原因,确定了最佳结构,为实验合成提供了理论依据。     

一维梯状配合物{[Cu2(4,4''-bpy)3(p-Ab)2(H2O)2]·(NO3)2·4H2O}n的晶体结构

合成了一维分子梯状配合物{[Cu2(4,4'-bpy)3(p-Ab)2(H2O)2]·(NO3) 2·4H2O}n(4,4'-bpy=4,4'-联吡啶,p-Ab-=对氨基苯甲酸根离子),该配合物晶体属单斜晶系,P2(1)/c空间群,晶胞参数:a=1.110 7(5) nm,b=1.550 4(3) nm,c=1.450 9(3) nm,β=104.81(3)°,V=2.415 5(12) nm3,Z=2.铜离子周围有3个氧原子和3个氮原子与之配位,其中2个氧原子由对氨基苯甲酸的螯合氧原子提供,另一个氧原子由配位水提供,3个氮原子分别由三个4,4'-联吡啶提供.这六个原子在铜离子周围形成一个畸变的八面体配位环境.配体对氨基苯甲酸只有一种配位形式--双齿螯合,第二配体4,4'-联吡啶的两个氮原子均参与配位,将配合物组装成一维分子梯结构.     

气相法合成一维无机纳米材料的研究进展

一维无机纳米材料是研究电子传输行为、光学特性和力学机械性能等物性的尺寸和维度效应的理想系统，将在构筑纳米电子和光电子器件等集成线路和功能性元件的进程中充当非常重要的角色，已成为当前纳米材料科学领域的前沿和热点。本文将从一维无机纳米材料的合成、表征和物性研究等方面，结合近年来国内外的最新进展对这一新兴领域作一概述。     

旋流煤粉燃烧的一维综合数值模拟

发展了综合考虑气－固两相旋流流动，气相燃烧，颗粒相变与燃烧及两相辐射传热的旋流煤粉燃烧－维数学模型，给出了气－固两相能量方程中颗粒相就源项的计算表达式，应用这一模型对涡旋燃烧炉环形通道内多组工况的旋流气体燃烧和煤粉燃烧进行了数值模拟，计算得到的炉内温度分布和燃烧效率与实验数据基本相符，表明本文建立的模型可用于旋流煤粉燃烧的一维综合数值模拟。     

Synthesis and Crystal Structure of a 1-D Chain Zinc（Ⅱ） Coordinated Polymer with N-p-Tolysulfonyl-glutamine

A novel coordination polymer {[Zn(ts-gln)(bipy)]3H2O}n (ts-glnH2=N-p-toly-sulfonyl-glutamine,bipy=2,2-bipyridine) has been prepared and structurally characterized by X-ray diffraction method. It crystallizes in orthorhombic,space group P212121 with a=8.2622(5),b=16.6244(10),c=18.2807(10) ,V=2510.9(3) 3,C22H28N4O8SZn,Mr=573.91,Z=4,Dc= 1.518 g/cm3,μ(MoKa)=1.115 mm-1,F(000)=1192,the final R=0.0262 and wR=0.0662 for 5691 independent reflections with Rint=0.0240. The zinc(Ⅱ) atom is coordinated by N(3) and N(4) atoms of a bipy molecule,two carboxylate O(1) and O(2A) and amino N(1) atoms of ts-gln ligands,resulting in a square-pyramidal geometry. The title complex consists of an infinite zigzag chain of zinc(Ⅱ) ions linked by the carboxylate of N-p-tolysulfonyl-glutamine.