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<正> ⅠNTRODUC(?)NIn a recent paper the author has published the result, ofsome,investigations on the periodic sequences of Laplace of periodfour with a stratifiable couple of diagonal congruences.Thedeterinination of these soquences of Laplace requires the integrationof the classical partial differential equation 相似文献
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<正> 1.In a recent paper with the same title we studied thesequences of Laplace of period four with a stratifiable couple ofdiagonal congruences and therewith arrived at certain configurations(T) of Finikoff which admit an infinity of transformation of Calapso.As we have shown before,these configurations are characterized bytwo properties,namely,(i)the two diagonals describe congruencesof a stratifiable couple and(ii)the developables of the congruences 相似文献
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一类整函数系数线性微分方程解的增长级和零点 总被引:5,自引:0,他引:5
在本文中假设微分方程的系数为有限级整函数且满足:对于每个不恒等于零的系数Aj(j为整数且0≤j≤k-1),其零点收敛指数小于其增长级,且当Ai≠0,Aj≠0(i≠j),Ai/Aj的增长级等于Ai与Aj增长级的最大值,以及自由项F为有限级整函数。我们研究了线性微分方程f^(k) Ak-1f(^k-1) … A0f=f,k≥2解的增长级和零点收敛指数,得到在一定条件下,方程解的增长级及零点收敛指数的精确估计。 相似文献
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《Quaestiones Mathematicae》2013,36(4):249-279
Abstract Suppose X is a locally compact Hausdorff space and C (X) the apace of all continuous complex valued functions on X which vanish at infinity. Let T be a (complex) linear lattice homomorphism on Co (X) whose adjoint is also a lattice homomorphism. It is sham that every non-zero isolated point of the approximate point spectrum of T lies in the point spectrum of T. An example is given to show that the exclusion of zero is necessary, even when X is compact. The same techniques are then used to show that if also the spectrum of T is finite then T can be written, in a natural manner, as a direct sum of two such lattice homomorphisms; one being an n'th root of an invertible multiplication operator and the other quasi-nilpotent. 相似文献
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研究了具有一定性质的全纯函数.设F是平面上区域D内的全纯函数族.如果对于任意的f∈F 都有 其中C为常数且f(0)≠0,则F正规. 相似文献
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ONTHEBOUNDEDNESSANDTHESTABILITYRESULTSFORTHESOLUTIONOFCERTAINFIFTHORDERDIFFERENTIALEQUATIONSCEMILTUNC(YuzuncuYilUniversity,Eg... 相似文献
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Ye Weiyin 《数学年刊B辑(英文版)》1998,19(3):359-368
§1.Forthesystemx=-y+δx+lx2+ny2=P(x,y),y=x(1+ax-y)=Q(x,y),{(1.1)wecanfindin[1]thefolowing:ConjectureI.Assume1a<0,n>1,n+l>0,na2... 相似文献
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《代数通讯》2013,41(11):5181-5198
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本文通过一类秩等方程给出了AT,S^(1,2)、AT,S^(2)的一种刻画及一类秩等方程有解的充分必要条件,推广了文献[1]、[4]的结论,并改进了[4]关于矩阵A的Drazin逆Af的一类刻画的证明。 相似文献
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<正> 在芬斯拉-嘉當空間裹,正如J.M.Wegener所指出,極小超曲面的確定是和某一定的超曲面參數族的選擇有關的,並且除了A_i=0的芬斯拉空間而外,在幾何學上很難給它以完備的意義.現時A.Deicke證明了在完全正测度之下具有A~i=0的芬期拉空間恰是黎曼空間.這個驚異的結果使得在這樣特 相似文献
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关于广义逆矩阵A(1,2)T,S的刻画推广 总被引:1,自引:0,他引:1
本文通过一类秩等方程给出了A(1,2)T,S、A(2)T,S的一种刻画及一类秩等方程有解的充分必要条件,推广了文献[1]、[4]的结论,并改进了[4]关于矩阵A的Drazin逆Ad的一类刻画的证明. 相似文献