共查询到20条相似文献,搜索用时 15 毫秒
1.
A. I. Vagabov 《Differential Equations》2012,48(4):477-485
For a linear differential expression with matrix coefficients in the class L p , p ≥ 2, and with a parameter λ, we consider a boundary value problem with boundary conditions at the endpoints of the interval [a, b]. Under the condition that the problem is regular, we obtain a formula for the Fourier series expansion of an arbitrary vector function of the class L p in the root functions of the problem. 相似文献
2.
T. S. Kopaliani 《Ukrainian Mathematical Journal》2008,60(12):2006-2014
We point out that if the Hardy–Littlewood maximal operator is bounded on the space L
p(t)(ℝ), 1 < a ≤ p(t) ≤ b < ∞, t ∈ ℝ, then the well-known characterization of the spaces L
p
(ℝ), 1 < p < ∞, by the Littlewood–Paley theory extends to the space L
p(t)(ℝ). We show that, for n > 1 , the Littlewood–Paley operator is bounded on L
p(t) (ℝ
n
), 1 < a ≤ p(t) ≤ b < ∞, t ∈ ℝ
n
, if and only if p(t) = const.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 12, pp. 1709–1715, December, 2008. 相似文献
3.
Tunay Bilgin 《Czechoslovak Mathematical Journal》2005,55(3):691-697
The definition of lacunary strongly convergence is extended to the definition of lacunary strong (A
σ
, p)-convergence with respect to invariant mean when A is an infinite matrix and p = (p
i
) is a strictly positive sequence. We study some properties and inclusion relations. 相似文献
4.
A. M. Bratiichuk 《Ukrainian Mathematical Journal》2007,59(7):976-983
We consider a queuing system of the type M
θ/G/1/b in which the input stream is regulated by a certain threshold level. The asymptotic properties of the first busy period and
the number of calls served during this period are studied.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 884–889, July, 2007. 相似文献
5.
We investigate the growth of the Nevanlinna characteristic of f(z+η) for a fixed η∈C in this paper. In particular, we obtain a precise asymptotic relation between T(r,f(z+η)) and T(r,f), which is only true for finite order meromorphic functions. We have also obtained the proximity function and pointwise estimates
of f(z+η)/f(z) which is a discrete version of the classical logarithmic derivative estimates of f(z). We apply these results to give new growth estimates of meromorphic solutions to higher order linear difference equations.
This also allows us to solve an old problem of Whittaker (Interpolatory Function Theory, Cambridge University Press, Cambridge,
1935) concerning a first order difference equation. We show by giving a number of examples that all of our results are best possible
in certain senses. Finally, we give a direct proof of a result in Ablowitz, Halburd and Herbst (Nonlinearity 13:889–905, 2000) concerning integrable difference equations.
This research was supported in part by the Research Grants Council of the Hong Kong Special Administrative Region, China (HKUST6135/01P).
The second author was also partially supported by the National Natural Science Foundation of China (Grant No. 10501044) and
the HKUST PDF Matching Fund. 相似文献
6.
Thomas Vougiouklis 《数学学报(英文版)》2008,24(7):1067-1078
The hyperoperations, called theta-operations (δ), are motivated from the usual property, which the derivative has on the derivation of a product of functions. Using any map on a set, one can define δ-operations. In this paper, we continue our study on the δ-operations on groupoids, rings, fields and vector spaces or on the corresponding hyperstructures. Using δ-operations one obtains, mainly, Hwstructures, which form the largest class of the hyperstructures. For representation theory of hyperstructures, by hypermatrices, one needs special Hv-rings or Hy-fields, so these hyperstructures can be used. Moreover, we study the relation of these δ-structures with other classes of hyperstructures, especially with the Hv-structures. 相似文献
7.
8.
A. V. Smirnov 《Theoretical and Mathematical Physics》2009,158(3):300-312
We show a relation between systems of integrable tops on the algebras sl(N, ℂ) and Calogero-Moser systems of N particles. We construct classical Lax operators corresponding to these systems. We show
that these operators are related to certain new trigonometric and rational solutions of the Yang-Baxter equations for the
algebras sl(N, ℂ) and give explicit formulas for N = 2, 3.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 3, pp. 355–369, March, 2009. 相似文献
9.
V. Yu. Slyusarchuk 《Ukrainian Mathematical Journal》2007,59(4):639-644
We establish conditions for the oscillation of solutions of the equation y″ + p(t)Ay = 0 in a Banach space, where A is a bounded linear operator and p: ℝ+ → ℝ+ is a continuous function.
__________
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 4, pp. 571–576, April, 2007. 相似文献
10.
Let S be a pomonoid and I a proper right ideal of S. In a previous paper, using the amalgamated coproduct A(I) of two copies of
S
S over I, we were able to solve one of the problems posed in S. Bulman-Fleming et al. (Commun. Algebra 34:1291–1317, 2006). In the present paper, we investigate further flatness properties of A(I). We also solve another problem stated in the paper cited above. Namely, we determine the condition under which Rees factor
S-posets have property (P
w
).
Research supported by nwnu-kjcxgc-03-18. 相似文献
11.
12.
William D. BANKS Florian LUCA 《数学学报(英文版)》2007,23(10):1915-1918
In this note, we show that the number of composite integers n ≤ x such that φ(n)|n - 1 is at most O(x^1/2(loglog x)^1/2), thus improving earlier results by Pomerance and by Shan. 相似文献
13.
In this paper, an iterative algorithm is constructed for solving linear matrix equation AXB = C over generalized centro-symmetric matrix X. We show that, by this algorithm, a solution or the least-norm solution of the matrix equation AXB = C can be obtained within finite iteration steps in the absence of roundoff errors; we also obtain the optimal approximation
solution to a given matrix X
0 in the solution set of which. In addition, given numerical examples show that the iterative method is efficient. 相似文献
14.
Guohua Wu 《Archive for Mathematical Logic》2003,42(2):201-204
We give a characterization of strongly compact cardinals in terms of Q
κ
λ. We also prove that weakly normal Q-measures on Q
κ
λ are ⊂κ-normal.
Received: 29 September 2000 / Revised version: March 2002 Published online: 5 November 2002
This project is supported by the New Zealand Marsden Fund. The author wishes to thank the referee for numerous comments and
suggestions which have been incorporated into this version of the paper. 相似文献
15.
Jianqiang Zhao 《The Ramanujan Journal》2007,14(2):189-221
For every positive integer d we define the q-analog of multiple zeta function of depth d and study its properties, generalizing the work of Kaneko et al. who dealt with the case d=1. We first analytically continue it to a meromorphic function on ℂ
d
with explicit poles. In our Main Theorem we show that its limit when q
↑1 is the ordinary multiple zeta function. Then we consider some special values of these functions when d=2. At the end of the paper we also propose the q-analogs of multiple polylogarithms by using Jackson’s q-iterated integrals and then study some of their properties. Our definition is motivated by those of Koornwinder and Schlesinger
although theirs are slightly different from ours.
Partially supported by NSF grant DMS0139813 and DMS0348258. 相似文献
16.
V. N. Ivanov 《Journal of Mathematical Sciences》2005,131(2):5495-5507
We introduce interpolation analogs of the Schur Q-functions — the multiparameter Schur Q-functions. We obtain for them several
results: a combinatorial formula, generating functions for one-row and two-row functions, vanishing and characterization properties,
a Pieri-type formula, a Nimmo-type formula (a quotient of two Pfaffians), a Giambelli-Schur-type Pfaffian formula, a determinantal
formula for the transition coefficients between multiparameter Schur Q-functions with different parameters. We write an explicit
Pfaffian expression for the dimension of a skew shifted Young diagram. This paper is a continuation of the author's paper
math. CO/0303169 and a partial projective analog of the paper q-alg/9605042 by A. Okounkov and G. Olshanski and the paper
math. CO/0110077 by G. Olshanski, A. Regev, and A. Vershik. Bibliography: 36 titles.
__________
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 307, 2004, pp. 99–119. 相似文献
17.
Let ƒ be a transcendental meromorphic function, a a nonzero finite complex number, and n ⩾ 2 a positive integer. Then ƒ + a(ƒ′)
n
assumes every complex value infinitely often. This answers a question of Ye for n = 2. A related normality criterion is also given.
This work was supported by the National Natural Science Foundation of China (Grant No. 10771076), the Natural Science Foundation
of Guangdong Province, China (Grant No. 07006700) and by the German-Israeli Foundation for Scientific Research and Development
(Grant No. G-809-234.6/2003) 相似文献
18.
Marian Trenkler 《Czechoslovak Mathematical Journal》2005,55(3):725-728
We give a construction of p orthogonal Latin p-dimensional cubes (or Latin hypercubes) of order n for every natural number n ≠ 2, 6 and p ≥ 2. Our result generalizes the well known result about orthogonal Latin squares published in 1960 by R. C. Bose, S. S. Shikhande
and E. T. Parker. 相似文献
19.
20.
S. E. Derkachov 《Journal of Mathematical Sciences》2007,143(1):2773-2790
We study the general rational solution of the Yang-Baxter equation with the symmetry algebra sℓ(3). The R-operator which acts
in the tensor product of two arbitrary representations of the symmetry algebra can be represented as a product of simpler
“building blocks,” R-operators. The R-operators are constructed explicitly and have a simple structure. In such a way, we construct the general rational solution
of the Yang-Baxter equation with the symmetry algebra s sℓ(3). To illustrate the factorization in the simplest situation,
we treat also the sℓ(2) case. Bibliography: 23 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 335, 2006, pp. 134–163. 相似文献