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991.
Zhuang Rongkun 《Annals of Differential Equations》2006,22(2):234-240
In this paper, we first establish some differential inequalities and then some Sturm comparison theorems are derived for the second order neutral nonlinear differential equations. Our results generalize some classical Sturm comparison theorems. 相似文献
992.
One describes, using a detailed analysis of Atiyah-Hirzebruch spectral sequence, the tuples of cohomology classes on a compact,
complex manifold, corresponding to the Chern classes of a complex vector bundle of stable rank. This classification becomes
more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe
in constructive terms the Chern classes of a vector bundle.
Since deceased. 相似文献
993.
本文在K-拟可加模糊测度空间上建立了K-拟可加模糊数值积分,利用其积分转换定理和诱导算子的性质,将这种积分整体看成可测空间上取值于模糊值和集函数,从而使得这种模糊积分不仅具有自连续性,而且也满足逆自连续性。这些特性能更好地描述模糊值可测函数列和K-拟可加模糊数值积分序列的收敛性。 相似文献
994.
The Henstock integral in ℝn and its relation to the n-dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in ℝn is proved.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 251–258.Original Russian Text Copyright © 2005 by P. Muldowney, V. A. Skvortsov. 相似文献
995.
Anna Varvak 《Journal of Combinatorial Theory, Series A》2005,112(2):1-307
For an element w in the Weyl algebra generated by D and U with relation DU=UD+1, the normally ordered form is w=∑ci,jUiDj. We demonstrate that the normal order coefficients ci,j of a word w are rook numbers on a Ferrers board. We use this interpretation to give a new proof of the rook factorization theorem, which we use to provide an explicit formula for the coefficients ci,j. We calculate the Weyl binomial coefficients: normal order coefficients of the element (D+U)n in the Weyl algebra. We extend these results to the q-analogue of the Weyl algebra. We discuss further generalizations using i-rook numbers. 相似文献
996.
Jan Melin 《Journal of Mathematical Analysis and Applications》2005,303(1):81-89
We use the theory of distributions to extend the Poincaré-Bendixson theorem and the Bendixson criterion to piecewise Lipschitz continuous system possessing unique and continuous solutions. We demonstrate the use of these extensions by several examples that have recently appeared in the literature. 相似文献
997.
Carlo Bertoluzza Pedro Miranda Pedro Gil 《International Journal of Approximate Reasoning》2005,40(3):127-146
In this paper we propose a generalization of the concept of the local property for divergence measures. These new measures will be called g-local divergence measures, and we study some of their properties. Once this family is defined, a characterization based on Ling’s theorem is given. From this result, we obtain the general form of g-local divergence measures as a function of the divergence in each element of the reference set; this study is divided in three parts according to the cardinality of the reference set: finite, infinite countable or non-countable. Finally, we study the problem of componible divergence measures as a dual concept of g-local divergence measures. 相似文献
998.
本文基于Mellin变换法求解复杂更一般形式的对偶积分方程组.通过积分变换,由实数域化成复数域上的方程组,引入未知函数的积分变换,移动积分路径,应用Cauchy积分定理,实现退耦正则化为Cauchy奇异积分方程组,由此给出一般性解,并严格证明了对偶积分方程组退耦正则化为Cauchy奇异积分方程组与原对偶积分方程组等价性,以及对偶积分方程组解的存在性和唯一性.给出的解法和理论解,作为求解复杂对偶积分方程组一种有效解法,可供求解复杂的数学、物理、力学中的混合边值问题应用. 相似文献
999.
CHO Min-hyung 《数学季刊》2005,20(2):137-140
The classical countable summation type Hahn-Schur theorem is a famous result in summation theory and measure theory. An interesting problem is whether the theorem can be generalized to non-countable summation case? In this paper, we show that the answer is true. 相似文献
1000.
Claus Müller 《Journal of Mathematical Analysis and Applications》2002,269(2):401-420
We extend the Trotter-Kato theorem on C0-semigroups to local convoluted semigroups on dual spaces and apply these results to the general Banach space setting. Compared to known results we obtain weaker convergence assumptions on the resolvent. 相似文献