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姚鹏飞 《应用泛函分析学报》2001,3(4):322-333
证明了夹住椭圆薄膜的整个边界不是使薄膜的椭圆性成立的必要条件。特别地,给出了两类边界条件,分别叫做部分自由边界条件和共轭边界条件,它们使得椭圆薄膜具有椭圆性但其边界没有被完全夹住。这些结果纠正了Slicaru在下面的章中所犯的错误:On the ellipticity of the middle surface of a shell,C.R.Acad.Sci.Paris,t.322,Serie,p.97-100,1996。最后,通过例子说明,当椭圆薄膜的边界不限制任何条件时,使应变能有限的位移向量空间可非常大。 相似文献
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Based on the bent ligand 1 H-3-(3-pyridyl)-5-(4-pyridyl)-1,2,4-triazole(3,4?-Hbpt) with Co(Ⅱ) ions as well as a series of polycarboxylate co-ligands, three new coordination polymers were yielded, namely, {[Co(op)(3,4?-Hbpt)(H_2O)_3]?2 H_2O}n(1), [Co(cyc)(3,4′-Hbpt)(H_2O)]n(2) and [Co(pro)(3,4′-Hbpt)(H_2O)]n(3)(here, op = o-phthalic anion, cyc = 1,1-cyclobutanedicarboxylic anion, pro = propanedioic anion). In cooperation with the auxiliary polycarboxylate co-ligands, a variety of Co(Ⅱ) coordination networks, such as 1-D chain 1 and 2-D layer 2 and 3 have been assembled. The magnetic behaviors of compounds 1~3 were studied. All of them indicated the existence of interesting spin-canting behavior. 相似文献
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一、主要结果的叙述一个完全可控的线性定态系统是否能选择适当的反馈,使闭路系统具有我们预先给定的谱集?关于这个问题的许多工作可在[2,3,4]中见到,都是在对(D)类算子加上某种“阶”的条件下讨论的,在实际问题的应用中不很方便.本文的关键点在于对线性算子 A 不作任何“阶”的要求,只需 A 是(D)类就可以了. 相似文献
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We consider the exact controllability problem from boundary for thin shells. Under some checkable geometric assumptions on the middle surface, we establish the observability inequalities via the Bochner technique for the Dirichlet control and the Neumann control problems. We also give several examples to verify the geometric assumptions. 相似文献
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姚鹏飞 《数学物理学报(A辑)》1991,11(3):274-279
本文讨论了形如 的积分方程属于[0,1]正解的个数问题,其中k(x,y)=φ_1(x)φ_1(y)+φ_2(x)φ_2(y),φ_i(x)>0,φ_i(y)>0,0相似文献
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通过运用扰动能量方法研究了一类具有弱非线性耗散项粘弹性波方程解的能量衰减性,其中耗散项显依赖于时间t,得到解的衰减率依赖于阻尼的增长速度和t的函数. 相似文献