共查询到20条相似文献,搜索用时 31 毫秒
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This paper is devoted to the problem of existence of positive solution for a delay differential equation with fractional order.
Some sufficient conditions for its existence of positive solution are given.
This work was supported in part by the Key Project of the National Nature Science Foundation of China (No. 60534020), the
National Nature Science Foundation of China (No. 60474037), and Program for New Century Excellent Talents in University (No.
NCET-04-415). 相似文献
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Yusuf DANISMAN 《数学年刊B辑(英文版)》2017,38(4):1019-1036
The L-factor of irreducible x1×x2(×)σ defined by Piatetski-Shapiro is computed by using non-split Bessel functional. 相似文献
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Let K(2?) be the class of compact subsets of the Cantor space 2?, furnished with the Hausdorff metric. Let f ∈ C(2?). We study the map ω f : 2 ? → K(2?) defined as ω f (x) = ω(x, f), the ω-limit set of x under f. Unlike the case of n-dimensional manifolds, n ≥ 1, we show that ω f is continuous for the generic self-map f of the Cantor space, even though the set of functions for which ω f is everywhere discontinuous on a subsystem is dense in C(2?). The relationships between the continuity of ω f and some forms of chaos are investigated. 相似文献
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V. A. Ilyin 《Journal of Mathematical Sciences》2003,114(4):1461-1472
This article concerns the boundary control on the side x = 0 when the other side x = l is fixed. The corresponding process of oscillations is studied for the time interval T > 0 and is described by the generalized solution of the equation
This solution belongs to the class that admits the existence of finite energy for any time moment t. 相似文献
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The standard routine QAGE from Quadpack is modified to allow the efficient evaluation of integrals of the form
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g(¦f(x)¦)dx, wheref andg are assumed to be smooth. Using function values available during the adaptive integration process, zeros off are found and used as subdivision points. The technique compares favourably with both the original bisection strategy and the nonuniform trisection strategy of Berntsen et al. The modified algorithm extends the class of integrals that can be integrated with an automatic code, since it copes with problem integrals that can not be integrated using the bisection or trisection strategies. 相似文献
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Roman Popovych 《Finite Fields and Their Applications》2012,18(4):700-710
We obtain explicit lower bounds on multiplicative orders of finite field elements that have more general form than Gauss periods of a special type. This bound improves in a partial case of Gauss period the previous bound of Ahmadi, Shparlinski and Voloch (2010) [2]. 相似文献
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The Ramanujan Journal - Let $$k\geqslant 2$$ be a fixed natural number and $$d_k(n)$$ denote the number of ways n can be written as a product of k positive integers. We use $$\Delta _k(x)$$ to... 相似文献
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讨论了当广义积分∫ ∞a f (x) dx收敛时 ,极限 limx→ ∞ f (x) =0的各种条件 . 相似文献
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In this paper we consider APN functions ${f:\mathcal{F}_{2^m}\to \mathcal{F}_{2^m}}$ of the form f(x) = x ?1 + g(x) where g is any non ${\mathcal{F}_{2}}$ -affine polynomial. We prove a lower bound on the degree of the polynomial g. This bound in particular implies that such a function f is APN on at most a finite number of fields ${\mathcal{F}_{2^m}}$ . Furthermore we prove that when the degree of g is less than 7 such functions are APN only if m ?? 3 where these functions are equivalent to x 3. 相似文献
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Qing Lin 《数学学报(英文版)》1995,11(3):225-231
In this paper, we show that, without involving theC*-bundle theory, elementary differential topology can do the classification of homogeneousC*-crossed productC(X) x
Z, whereX is a compact differentiable manifold of low dimension and is a diffeomorphism ofX. The motivation of this work is the Shultz's theorem which states that aC*-algebra can be identified with its pure state space carryingw*-topology and certain geometric structure. 相似文献
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题目 (2009年湖北文9)设x∈R,记不超过x的最大整数为[x],令{x}=x-[x],则{√5+1/2},[√5+1/2],√5+1/2
A.是等差数列但不是等比数列
B.是等比数列但不是等差数列
C.既是等差数列又是等比数列
D.既不是等差数列也不是等比数列…… 相似文献