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1.
在本文中我们讨论了α次积分半群的收敛与逼近,获得了α次积分半群的Trotter—Kato定理,并将其结果应用于Banach空间中完全二阶微分方程的讨论。  相似文献   

2.
在Banach空间上将α次积分C半群与α次积分C余弦算子函数进行了推广,引入了n阶α次积分C半群及其次生成元的定义,得到它与次生成元的关系,研究了它的基本性质.讨论了n阶α次积分C半群与高阶抽象Cauchy问题解的关系.  相似文献   

3.
本文讨论了Hammerstein型积分方程φ(x)=(integralfromn=G)K(x,y)f(y,φ(y))dy=Aφ(x),在条件f(x,u)=(sumfromi=1ton)α_i(x)u~(β_i)下的正解,所得到的结果是文[1]中有关结论的推广。  相似文献   

4.
引进用复合算子定义的一族解析函数B(λ,σ,α,β)和与Robertson函数有关的一类解析函数族R(α,β).先用在单位圆内解析函数族A上的三个算子来研究B(λ,σ,α,β),得到积分表达式、包含关系、极值点、偏差定理;并讨论实部不等式和积分平均等性质.同时推出B(λ,σ,α,β)与R(α,β)之间的关系,由此导出中函数的相应结果.  相似文献   

5.
讨论一阶常微分方程M(x,y)dx+N(x,y)dy=0的积分因子问题,给出了方程具有形如f(x+y)g(ax^i+by^s+cx^αy^β)的积分因子的充要条件以及求上述积分因子的方法。  相似文献   

6.
对非负实数α,本文讨论了指数有界α─次积分半群与指数有界C─半群的等价性,推广了delaubenfels[1]中的结果。特别地,当α取非负整数时,便为[1]中结果。  相似文献   

7.
对称性在多元函数积分学中的应用   总被引:1,自引:0,他引:1  
讨论了对称性在多元函数积分学中的应用,具体地给出了利用被积函数和积分区域的对称性来简化重积分,曲线积分和曲面积分的计算方法,并给出了较为详尽的算例.  相似文献   

8.
本文通过讨论广义重积分与广义逐次积分之间的关系,得出一些结论,并将相应结果推广到广义三重积分与广义三次积分中。  相似文献   

9.
讨论了Cauchy-Stieltjes积分乘子的半径增长性质,得到如果f(z)∈μα,β,且∫π0ω(x)/x(β-α)+1dx+∞,则f(reiθ)有界(0≤r1).  相似文献   

10.
对Bαlog空间到QT,s空间的积分型算子为有界算子进行等价刻画.利用|f|(z)的估计讨论了Bαlog空间到QT,s空间的积分型算子(CΦJτf)(z)=∫0Φ(z)f(ξ)τ′(ξ)dξ和(CΦJτf)(z)=∫0z(f°Φ)(ξ)τ′(ξ)dξ的有界性,并给出了Bαlog空间到QT,s空间的积分型算子有界的充分必要条件.  相似文献   

11.
以5-磺基水杨酸为配体,与氢氧化钠在水和甲醇(1:1)混合溶剂中发生反应合成了一个新的配位聚合物[Na(5-磺基水杨酸)(H2O)2]n,并用X-单晶衍射仪对其结构进行了表征。结果表明,该配合物为三斜晶系,P-I空间群,晶胞参数为:a=6.7154(11),b=7.0854(11),c=11.6749(19),α=77.817(2)°,β=83.226(2)°,γ=77.913(2)°,V=529.37(15)3,Z=2,R1=0.0318,wR2=0.0863,F(000)=284.  相似文献   

12.
合成了乙酰丙酮铜,并通过红外光谱、X–射线单晶衍射等手段对其结构进行了表征.结果表明,配合物的组成为Cu(C5H7O2)2;单斜晶系,P2(1)/n空间群;晶胞参数:a=10.336(7),α=90°;b=4.717(3),β=91.909(10)°;c=11.375(7),γ=90;V=554.3(6)3,Z=2,Mr=261.75,Dc=1.568mg/m3;R1=0.0580,wR2=0.1498[I>2σ(I)].在该化合物中,Cu(Ⅱ)的配位数是4,与来自2个乙酰丙酮负离子(acac-)的4个氧原子进行了配位,处于四配位的平面四边形环境.配合物的荧光光谱分析表明,配合物在417 nm处产生了很强的荧光.  相似文献   

13.
考虑一类具有正负系数的时滞微分方程x('t)+1tlntni=1Σpix(tα)i-1tlntni=1Σqix(tβ)i=0,其中0〈αi〈1,0〈βi〈1,pi〉0,qi≥0是常数,证明了方程所有解振动的一个充分条件为αi〈βi,ni=1Σpi〉ni=1Σqi,ni=1Σqilnβiα≤1,ni=1Σ(pi-qi)ln1α〉1e其中α=max{α1,α2,…,αn≤≤}.  相似文献   

14.
以1,3-联(4-吡啶基)丙烷(bpp),间苯二甲酸(H2ip)为有机配体,以过渡金属Zn为中心离子,通过水热合成法合成出配合物.化合物中Zn离子表现为扭曲的四面体配位构型,P21/n空间群,晶体学参数为:a=10.9443(8),b=11.1569(8),c=15.7486(12),α=90.00°,β=103.8230(10)°,γ=90.00°,V=1.8673(2)3,Z=4,Dc=1.539g/cm3.由于bpp分子中含有丙烷基柔性链,故其在晶体中有多样的几何构型,而H2ip分子为多羧酸刚性分子,羧基上的氧原子可以有多种配位形式,在晶体中可以形成稳定结构.  相似文献   

15.
The active control of rotor vibration was studied while shape memory alloy (SMA) spring component was chosen as bearing of rotor system. The vibration of rotor system was controlled by the phase transformation of SMA with electric heating method. The SMA spring component has nonlinear coupling problem of thermal stress and thermal elasticity, because thermal constants α,β and elasticity constants γ, G vary with temperature when temperature changes sharply. Because δ,ε were both small parameters, their square items could be ignored and approximate results were obtained by perturbation. The characters of α,β, γ, G changing with temperature were analyzed. Results show that the character of thermal diffusivity ot changes with temperature, which cannot influence U,Ψ,So the nonlinearity of ot can be ignored; the character of,β changes with temperature,which cannot influence U, but influences Ψ at high temperature; the character of γ, G change with temperature, which cannot influence Ψ, but influences U with U^(01) ε. The more γ ,G, the more their influence on U;the nonlinearity of βT/pcvεkk influences U and Ψ, which must be calculated.  相似文献   

16.
对于分层图模型中的任一节点,识别信息来源于三个通道:α通道,基于物体的整体特征识别当前节点;β通道,通过孩子节点的组合以自底向上的方式来识别物体;γ通道,借助父节点以自顶向下的方式预测。通过引导受试者的注意力,控制测试数据的尺度大小和显示时间,以及遮挡和裁剪等措施来排除通道之间的相互影响,以便单独测试各通道的信息贡献量。实验结果表明:一般情况下α通道的贡献要更大;当存在遮挡时,主要依靠β通道的贡献;当分辨率很低导致本征信息不足时,γ通道将在物体识别任务中发挥主导作用。这些基于人类视觉系统的测试结果,对于相应的计算机物体识别算法性能的提高具有参考价值和指导意义。  相似文献   

17.
The Survey of Reading Attitudes was administered to 613 fourth-, fifth-, and sixth-grade students enrolled in the schools that serve the metropolitan area of a small city in Ontario, Canada. Means, standard deviations, coefficient of alpha reliability estimates, and standard errors of measurement were computed for the eight dimensions of reading attitude included in the Survey. The reliability estimates for the respective dimensions are as follows: Expressed Reading Difficulty, α = .88, Reading as Direct Reinforcement, α = .83, Reading as Enjoyment, α = .89, Alternative Learning Modes, α = .72, Reading Group, α = .81, Reading Anxiety, α = .82, Silent vs. Oral Reading, α = .83, and Comics, α = .79.  相似文献   

18.
文章采用N-乙基溴化奎宁为相转移催化剂,以2-丁酮等为原料合成了几种α-甲基-α-氨基酸,并考察了2-丁酮和2-戊酮等不同反应原料、不同反应温度和不同反应时长下合成反应的收率,得出了较佳的反应条件。  相似文献   

19.
This study examined the roles of future time perspective and affective commitment on the work engagement of a select group of aging Filipino professoriate. A total of 208 respondents aged 40–60 years old, teaching at the largest Catholic University in the Philippines, were requested to accomplish a multi-aspect questionnaire covering the variables of the study. Data gathered were processed through SPSS v.17 and AMOS v.19. The structural equation model reveals (i) a positive relationship between future time perspective and affective commitment (β = .485) and (ii) a positive relationship between affective commitment and dimensions of work engagement, namely, vigor (β = .986), dedication (β = .943), and absorption (β = .983). Also, of all the dimensions of work engagement, absorption has the biggest impact, while dedication has the smallest impact on work engagement. Findings yielded in this study provide valuable information in structuring human resource programs that can help address the aging workforce’s needs and concerns, thus improving their future orientation, commitment, and work engagement.  相似文献   

20.
Cubic algebraic hyperbolic (AH) Bezier curves and AH spline curves are defined with a positive parameter a in the space spanned by {1, t, sinht, cosht}. Modifying the value of a yields a family ofAH Bezier or spline curves with the family parameter α. For a fixed point on the original curve, it will move on a defined curve called "path of AH curve" (AH Bezier and AH spline curves) when a changes. We describe the geometric effects of the paths and give a method to specify a curve passing through a given point.  相似文献   

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