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941.
本文提出了区间值函数单调的概念,并利用所定义的区间值函数刻划了模糊数值函数的H-差,H-可导性和S-可导性及其相互关系. 相似文献
942.
This paper is concerned with boundary value problems for systems of nonlinear second-order differential equations. Under the suitable conditions, the existence and multiplicity of positive solutions are established by using abstract fixed-point theorems. 相似文献
943.
We consider a convexification method for a class of nonsmooth monotone functions. Specifically, we prove that a semismooth
monotone function can be converted into a convex function via certain convexification transformations. The results derived
in this paper lay a theoretical base to extend the reach of convexification methods in monotone optimization to nonsmooth
situations.
Communicated by X. Q. Yang
This research was partially supported by the National Natural Science Foundation of China under Grants 70671064 and 60473097
and by the Research Grants Council of Hong Kong under Grant CUHK 4214/01E. 相似文献
944.
The aim of this paper is to define the Besov–Morrey spaces and the Triebel– Lizorkin–Morrey spaces and to present a decomposition
of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.
The first author is supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.
The second author is supported by Fūjyukai foundation and the 21st century COE program at Graduate School of Mathematical
Sciences, the University of Tokyo. 相似文献
945.
In 1952 F. Riesz and Sz.-Nágy published an example of a monotonic continuous function whose derivative is zero almost everywhere, that is to say, a singular function. Besides, the function was strictly increasing. Their example was built as the limit of a sequence of deformations of the identity function. As an easy consequence of the definition, the derivative, when it existed and was finite, was found to be zero. In this paper we revisit the Riesz-Nágy family of functions and we relate it to a system for real number representation which we call (τ,τ−1)-expansions. With the help of these real number expansions we generalize the family. The singularity of the functions is proved through some metrical properties of the expansions used in their definition which also allows us to give a more precise way of determining when the derivative is 0 or infinity. 相似文献
946.
整表代数是群代数的推广,它的理想是群代数码的推广.本文给出了整表代数的单边理想是自正交理想的必要充分条件. 相似文献
947.
通过对α阶β型亚纯星形算子值函数类∑p(α,β)的若干性质的讨论,得到了关于∑p(α,β)的一个充分必要条件的f(z)的算子系数的一个估计,同时,也证明了∑p(α,β)在算子平均和凸线性组合下是闭的。 相似文献
948.
Jong-Seon No 《Designs, Codes and Cryptography》2004,33(3):199-213
In this paper, for a prime power q, new cyclic difference sets with Singer para- meters ((q
n
–1/q–1), (q
n–1–1/q–1), (q
n–2–1/q–1)) are constructed by using q-ary sequences (d-homogeneous functions) of period q
n
–1 and the generalization of GMW difference sets is proposed by combining the generation methods of d-form sequences and extended sequences. When q is a power of 3, new cyclic difference sets with Singer parameters ((q
n
–1/q–1), (q
n–1–1/q–1), (q
n–2–1/q–1)) are constructed from the ternary sequences of period q
n
–1 with ideal autocorrelation introduced by Helleseth, Kumar, and Martinsen. 相似文献
949.
Larry J. Gerstein 《Linear and Multilinear Algebra》2004,52(5):381-383
Characteristic elements have been useful in the classification of unimodular lattices over the integers. This article gives an explicit formula for characteristic elements of a lattice in terms of a basis for the lattice and the dual of that basis. 相似文献
950.