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1.
2.
In this paper we study the non-existence of nodal solutions for critical Sobolev exponent problem-div(|∇u|
m−2∇u)=|u|
p-1
u+|u|
q-1
u inB(R)u = 0 on ∂B(R) whereB(R) is a ball of radiusR in ℝn. 相似文献
3.
Ivo Herzog 《Algebras and Representation Theory》2007,10(2):135-155
Given an R-T-bimodule
R
K
T
and R-S-bimodule
R
M
S
, we study how properties of
R
K
T
affect the K-double dual M** = Hom
T
[Hom
R
(M, K), K] considered as a right S-module. If
R
K is a cogenerator, then for every R-S-bimodule, the natural morphism Φ
M
: M → M** is a pure-monomorphism of right S-modules. If
R
K is the minimal (injective) cogenerator and K
T
is quasi-injective, then M
** is a pure-injective right S-module. If
R
K is the minimal (injective) cogenerator, and T = End
R
K it is shown that K
T
is quasi-injective if and only if the K-topology on R is linearly compact. If the
R
K-topology on R is of finite type, then the natural morphism Φ
R
: R → R** is the pure-injective envelope of R
R
as a right module over itself.
The author is partially supported by NSF Grant DMS-02-00698. 相似文献
4.
We introduce the notion of weak dually residuated lattice ordered semi-groups (WDRL-semigroups) and investigate the relation
between R
0-algebras and WDRL-semigroups. We prove that the category of R
0-algebras is equivalent to the category of some bounded WDRL-semigroups. Moreover, the connection between WDRL-semigroups
and DRL-semigroups is studied. 相似文献
5.
The paper generalizes the Mangasarian–Ren (Ref. 1) error bounds forlinear complementarity problems (LCPs) to nonlinear complementarity problems(NCPs). This is done by extending the concept of R
0-matrixto several R
0-type functions, which include a subset ofmonotone functions as a special case. Both local and global error bounds areobtained for R
0-type NCPs and some monotone NCPs. 相似文献
6.
Based on the realization of representations of the algebra s
q
(2) in the space of polynomials for general values of the deformation parameter q and on a finite tuple of theta functions, which are a natural generalization of polynomials, we construct the eigenstates and find the related eigenvalues of the universal R-operator for cyclic representations corresponding to q
N = ±1. 相似文献
7.
Jinjin Li 《Czechoslovak Mathematical Journal》2005,55(4):941-945
In this note we study the relation between k
R
-spaces and k-spaces and prove that a k
R
-space with a σ-hereditarily closure-preserving k-network consisting of compact subsets is a k-space, and that a k
R
-space with a point-countable k-network consisting of compact subsets need not be a k-space.
This work was supported by the NSF of China (10271056). 相似文献
8.
9.
Marianna Fornasiero 《Annali dell'Universita di Ferrara》2002,48(1):119-131
It is proven that the extension of Malcolmson’s methods to reppresent all elements ofR
ζ is not purely straightforward. A detailed proof of such extension is here furnished.
Sunto Si prova che l’estensione dei metodi di Malcolmson per la rappresentazione degli elementi diR ζ a tutte le applicazioni tra moduli proiettivi indotti non è puramente meccanica. è fornita una dimostrazione dettagliata di detta estensione.相似文献
10.
John Friedlander Michael Larsen Daniel Lieman Igor Shparlinski 《Designs, Codes and Cryptography》1999,16(3):249-256
We obtain the upper bound O(214n/15 n−1/5) on the number of distinct values of all possible correlation functions between M-sequences of order n . 相似文献
11.
Let denote the set of continuous n×n matrices on an interval . We say that is a nontrivial k-involution if where ζ=e-2πi/k, d0+d1++dk-1=n, and with . We say that is R-symmetric if R(t)A(t)R-1(t)=A(t), , and we show that if A is R-symmetric then solving x′=A(t)x or x′=A(t)x+f(t) reduces to solving k independent dℓ×dℓ systems, 0ℓk-1. We consider the asymptotic behavior of the solutions in the case where . Finally, we sketch analogous results for linear systems of difference equations. 相似文献
12.
We consider the M/M/1 queue with processor sharing. We study the conditional sojourn time distribution, conditioned on the customer’s service
requirement, in various asymptotic limits. These include large time and/or large service request, and heavy traffic, where
the arrival rate is only slightly less than the service rate. The asymptotic formulas relate to, and extend, some results
of Morrison (SIAM J. Appl. Math. 45:152–167, [1985]) and Flatto (Ann. Appl. Probab. 7:382–409, [1997]).
This work was partly supported by NSF grant DMS 05-03745. 相似文献
13.
For natural numbers r,s,q,m,n with s≥r≤q we determine all natural functions g: T
*(J
(r,s,q)(Y, R
1,1)0)*→R for any fibered manifold Y with m-dimensional base and n-dimensional fibers. For natural numbers r,s,m,n with s≥r we determine all natural functions g: T
*(J
(r,s)
(Y, R)0)*→R for any Y as above. 相似文献
14.
In this paper we take up the problem of discussing C R manifolds of arbitrary C R codimension. We closely follow the general method of N.~Tanaka, while concentrating our attention to the case of manifolds endowed with partial complex structures. This study required a deeper understanding of the structure of the Levi--Tanaka algebras, which are the canonical prolongation of pseudocomplex fundamental graded Lie algebras. These algebras enjoy special properties, the understanding of which provided also a way to build up several different examples and points to a rich field of investigations. Here we restrained further our consideration to the homogeneous models. 相似文献
15.
We propose an integrable deformation of the known model of two interacting tops on the algebra so(p,q). We consider particular cases including the generalized Lagrange and Kovalevskaya tops. We construct the Lax matrices and the corresponding classical R-matrices. 相似文献
16.
Sofiya Ostrovska 《Numerical Algorithms》2007,44(1):69-82
Since in the case q > 1, q-Bernstein polynomials are not positive linear operators on C[0,1], the study of their approximation properties is essentially more difficult than that for 0<q<1. Despite the intensive research conducted in the area lately, the problem of describing the class of functions in C[0,1] uniformly approximated by their q-Bernstein polynomials (q > 1) remains open. It is known that the approximation occurs for functions admit ting an analytic continuation into a disc
{z:|z| < R}, R > 1. For functions without such an assumption, no general results on approximation are available. In this paper, it is shown
that the function f(x) = ln (x + a), a > 0, is uniformly approximated by its q-Bernstein polynomials (q > 1) on the interval [0,1] if and only if a ≥ 1.
相似文献
17.
A Convenient Subcategory of Tych 总被引:1,自引:1,他引:0
Gábor Lukács 《Applied Categorical Structures》2004,12(4):369-377
A map f:XY between Hausdorff topological spaces is k-continuous if its restriction f|
K
to every compact subspace K of X is continuous. X is called a k
R
-space if every k-continuous function from X to a Tychonoff space is continuous. In this paper we investigate the category of Tychonoff k
R
-spaces, and show that it is Cartesian closed (thus convenient in the sense of Wyler). 相似文献
18.
We consider the following “silent duel” of m players with a possible economic interpretation. Each player has one “bullet”, which she can shoot at any time during the time interval [0,1]. The probability that the i-th player hits the “target” at moment t is given by an increasing accuracy function f
i
(t). The winner is the player who hits the target first. Under natural assumptions on the functions f
i
(t) we prove the existence and uniqueness of a Nash equilibrium point in this game, and we provide an explicit construction of this equilibrium. This construction allows us to obtain exact solutions for many specific examples. Some of them are presented.This work was partly supported by RBRF grants 03-01-00479. 相似文献
19.
We obtain the exact convergence rate of the stationary distribution (K) of the embedded Markov chain in GI/M/c/K queue to the stationary distribution of the embedded Markov chain in GI/M/c queue as K. Similar result for the time-stationary distributions of queue size is also included. These generalize Choi and Kim's results of the case c=1 by nontrivial ways. Our results also strengthen the Simonot's results [5]. 相似文献
20.
We show in this paper how the theory of continued fractions can be used to invert the Laplace transform of a transient characteristic
associated with excursions in an M/M/∞ system with unit service rate and input intensity u. The characteristic under consideration is the area V swept under the occupation process of an M/M/∞ queue during an excursion period above a given threshold C. The Laplace transform V
⋆ of this random variable has been established in earlier studies and can be expressed as a ratio of Tricomi functions. In
this paper, we first establish the continued fraction representation of V
⋆, which allows us to obtain an alternative expression of the Laplace transform in terms of Kummer functions. It then turns
out that the continued fraction considered is the even part of a Stieltjes (S) fraction, which provides information on the location of the poles of V
⋆. It appears that the Laplace transform has simple poles on the real negative axis. Taking benefit of the fact that the spectrum
is compact and that the numerical values of the Laplace transform can easily be computed by means of the continued fraction,
we finally use a classical Laplace transform inversion technique to numerically compute the survivor probability distribution
function x➙ℙ{V > fx} of the random variable V, which exhibits an exponential decay only for very large values of the argument x when the ratio u/C is sufficiently smaller than one.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献