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811.
K. W. Tomantschger 《Journal of Computational and Applied Mathematics》2002,140(1-2):773-783
We consider two linear second-order ordinary differential equations. r=0 is a regular singular point of these equations. Applying the classical Method of Frobenius, we do not obtain any indicial equation and therefore no solution, because the differential equations are coupled.
In this paper, we present an extended Method of Frobenius on a coupled system of two ordinary differential equations. These equations come from the micropolar theory, which is one of the three kinds of the new 3M physics. 相似文献
812.
单因环的性质、等价条件和结构 总被引:2,自引:1,他引:1
一个有单位元的结合环,如果其元素不是单位就是零因子,则称其为单因环。它是很广泛的一个环类.本文讨论了单因环的住质、等价条件和结构;还讨论了它同其它环诸如正则环、局部环和循环环的关系,从而较深刻地刻划了这种环。 相似文献
813.
Manuel Blickle Florian Enescu 《Proceedings of the American Mathematical Society》2004,132(9):2505-2509
A result of Watanabe and Yoshida says that an unmixed local ring of positive characteristic is regular if and only if its Hilbert-Kunz multiplicity is one. We show that, for fixed and , there exists a number 0$"> such that for any nonregular unmixed ring its Hilbert-Kunz multiplicity is at least . We also show that local rings with sufficiently small Hilbert-Kunz multiplicity are Cohen-Macaulay and -rational.
814.
815.
Antonio Breda d'Azevedo Roman Nedela Jozef Sirá n 《Transactions of the American Mathematical Society》2005,357(10):4175-4190
We give a classification of all regular maps on nonorientable surfaces with a negative odd prime Euler characteristic (equivalently, on nonorientable surfaces of genus where is an odd prime). A consequence of our classification is that there are no regular maps on nonorientable surfaces of genus where is a prime such that (mod ) and .
816.
环的左自由正规化扩张和拟Excellent扩张 总被引:1,自引:0,他引:1
本文引进了环的左自由正规化扩张和拟Excelent扩张,并将环的Excelent扩张的一些性质推广到了左自由正规化扩张和拟Excelent扩张,主要讨论了几乎Noether性,正则性,凝聚性和半遗传性. 相似文献
817.
LI HUISHI 《数学年刊B辑(英文版)》1994,(4)
NOETHERIANGT-REGULARRINGSAREREGULAR¥LIHUISHI(DepartmentofMathematics,ShaanxiNormalUnivisityXi'an710062,China.)Abstract:Itispr... 相似文献
818.
Waldemar Berej Jerzy Matyjasek Dariusz Tryniecki Mariusz Woronowicz 《General Relativity and Gravitation》2006,38(5):885-906
The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ayón-Beato and Garcí a and by Bronnikov. It is shown that a simple generalization of the Bronnikov's electromagnetic Lagrangian leads to the solution expressible in terms of the polylogarithm functions. The solution is parametrized by two integration constants and depends on two free parameters. By the boundary conditions the integration constants are related to the charge and total mass of the system as seen by a distant observer, whereas the free parameters are adjusted to make the resultant line element regular at the center. It is argued that various curvature invariants are also regular there that strongly suggests the regularity of the spacetime. Despite the complexity of the problem the obtained solution can be studied analytically. The location of the event horizon of the black hole, its asymptotics and temperature are calculated. Special emphasis is put on the extremal configuration. 相似文献
819.
820.
E. Chetcuti 《Journal of Mathematical Analysis and Applications》2006,318(1):199-210
This paper investigates Nikodym-type and Cafiero-type convergence theorems for regular charges in the general set-up of projection logics of prehilbert spaces. For this aim we also characterize bounded regular charges. 相似文献