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1.
t Let F = Cay(G, S), R(G) be the right regular representation of G. The graph Г is called normal with respect to G, if R(G) is normal in the full automorphism group Aut(F) of F. Г is called a bi-normal with respect to G if R(G) is not normal in Aut(Г), but R(G) contains a subgroup of index 2 which is normal in Aut(F). In this paper, we prove that connected tetravalent edge-transitive Cayley graphs on PGL(2,p) are either normal or bi-normal when p ≠ 11 is a prime. 相似文献
2.
WeiLi ZhouHaiyun 《高校应用数学学报(英文版)》2005,20(2):175-182
By using the perturbation results of sums of ranges of accretive mappings of Calvert and Gupta (1978),the abstract results on the existence of solutions of a family of nonlinear boundary value problems in L^2 (Ω) are studied. The equation discussed in this paper and the methods used here are extension and complement to the corresponding results of Wei Li and He Zhen‘s previous papers. Especially,some new techniques are used in this paper. 相似文献
3.
In this paper, we define the generalized counting functions in the higher dimensional case and give an upper bound of the essential norms of composition operators between the weighted Bergman spaces on the unit ball in terms of these counting functions. The sufficient condition for such operators to be bounded or compact is also given. 相似文献
4.
In this paper, we study the existence of standIng waves of the coupled nonlinear Schrodinger equations. The proofs of which rely on the Lyapunov-Schmidt methods and contraction mapping principle are due to F. Weinstein in . 相似文献
5.
By Lyapunov functional method, sufficient conditions for the asymptotic stability of a class of neutral-type systems are discussed in this paper. This work extends some results on the stability of neutral-type systems in the previous papers. Several numerical examples are listed in the end of this paper to confirm our results. 相似文献
6.
Jerzy BROWKIN 《数学年刊B辑(英文版)》2007,28(5):507-520
In "Elements of small orders in K2(F)" (Algebraic K-Theory, Lecture Notes in Math., 966, 1982, 1-6.), the author investigates elements of the form {a, Φn(a)} in the Milnor group K2F of a field F, where Φn(x) is the n-th cyclotomic polynomial. In this paper, these elements are generalized. Applying the explicit formulas of Rosset and Tate for the transfer homomorphism for K2, the author proves some new results on elements of small orders in K2F. 相似文献
7.
Jerzy BROWKIN 《数学年刊B辑(英文版)》2007,(5)
In"Elements of small orders in K_2(F)"(Algebraic K-Theory,Lecture Notes in Math.,966,1982,1-6.),the author investigates elements of the form {a,Φ_n(a)} in the Milnor group K_2F of a field F,whereΦ_n(x)is the n-th cyclotomic polynomial.In this paper,these elements are generalized.Applying the explicit formulas of Rosset and Tate for the transfer homomorphism for K_2,the author proves some new results on elements of small orders in K_2F. 相似文献
8.
Yang Enhao 《数学年刊B辑(英文版)》1982,3(2):209-216
In a recent paper of Dhongade, U. D. and Deo, S. G.^[2], the well-known improtant integral inequality due to Bihari^[1] was generalized to the case of haying finite terms of nonlinear integral functionals. Certainly, the generalizations of this type are very useful in treating many problems. Unfortunately the theorems given in [2] are not quite correct.
The purpose of the present paper is first to prove the validity of another generalization of Bihari’s inequality, which corrects and extends all of the results in [2], and then as a further application of the obtained inequality, we consider here the perturbations of nonlinear Yolterra integral equations by combining with the nonlinear variation of constants formula established by Brauer, F.^[5] for the Yolterra equations. 相似文献
9.
In this paper, we show that the growth of meromorphic or algebroidal solutions of some algebraic differential equations can be estimated in terms of the growth of the coefficients in tho equation and the counting functions of some value peints. We point simulteneously out that the growth of algebroid solutions of certain class of differential equations can be estimated using only the growth of coefficients in the equation, and give an example which is not belonging to this class to show that the above conclusion is not true. 相似文献
10.
The isomorphism of polynomials(IP),one of the hard problems in multivariate public key cryptography induces an equivalence relation on a set of systems of polynomials.Then the enumeration problem of IP consists of counting the numbers of different classes and counting the cardinality of each class that is highly related to the scale of key space for a multivariate public key cryptosystem.In this paper we show the enumeration of the equivalence classes containing ∑n-1 i=0 aiX2qi when char(Fq) = 2,which implies that these polynomials are all weak IP instances.Moreover,we study the cardinality of an equivalence class containing the binomial aX 2q i + bX 2qj(i=j) over Fqn without the restriction that char(Fq) = 2,which gives us a deeper understanding of finite geometry as a tool to investigate the enumeration problem of IP. 相似文献
11.
Guang Lin RANG Zhi Yuan HUANG 《数学学报(英文版)》2007,23(5):895-904
In this paper a complete proof for the existence of generalized operators satisfying abstract 02 dynamical equations of quantum motions δ^2/δt^2Ф(t, x) + ( △- m^2)Ф(t, x) = -λ :Ф^3(t, x), subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation relations related to Ф44 quantum fields are discussed and proved in detail. 相似文献
12.
Xiu Gui LIU 《数学学报(英文版)》2007,23(6):1025-1032
Abstract Let A be the mod p Steenrod algebra and S the sphere spectrum localized at p, where p is an odd prime. In 2001 Lin detected a new family in the stable homotopy of spheres which is represented by (b0hn-h1bn-1)∈ ExtA^3,(p^n+p)q(Zp,Zp) in the Adams spectral sequence. At the same time, he proved that i.(hlhn) ∈ExtA^2,(p^n+P)q(H^*M, Zp) is a permanent cycle in the Adams spectral sequence and converges to a nontrivial element ξn∈π(p^n+p)q-2M. In this paper, with Lin's results, we make use of the Adams spectral sequence and the May spectral sequence to detect a new nontrivial family of homotopy elements jj′j^-γsi^-i′ξn in the stable homotopy groups of spheres. The new one is of degree p^nq + sp^2q + spq + (s - 2)q + s - 6 and is represented up to a nonzero scalar by hlhnγ-s in the E2^s+2,*-term of the Adams spectral sequence, where p ≥ 7, q = 2(p - 1), n ≥ 4 and 3 ≤ s 〈 p. 相似文献
13.
Let
be a unit sphere of the d–dimensional Euclidean space ℝ
d
and let
(0 < p ≤ 1) denote the real Hardy space on
For 0 < p ≤ 1 and
let
E
j
(f,H
p
) (j = 0, 1, ...) be the best approximation of f by spherical polynomials of degree less than or
equal to j, in the space
Given a distribution f on
its Cesàro mean of order δ > –1 is
denoted by
For 0 < p ≤ 1, it is known that
is the critical index for the uniform
summability of
in the metric H
p
. In this paper, the following result is proved:
Theorem
Let
0<p<1 and
Then for
where
A
N
(f)≈B
N
(f) means that there’s a positive constant C, independent of N and f, such that
In the case
d = 2, this result was proved by Belinskii in 1996.
The authors are partially supported by NNSF of China under the grant # 10071007 相似文献
14.
It is proved that the Stokes operator in Lq -space on an infinite cylindrical domain of
,
, with several exits to infinity generates a bounded and exponentially decaying analytic semigroup and admits a bounded
-calculus. For the resolvent estimates, the Stokes resolvent system with a prescribed divergence in an infinite straight
cylinder with bounded cross-section
is studied in L
q
where
and
is an arbitrary Muckenhoupt weight. The proofs use cut-off techniques and the theory of Schauder decomposition of UMD spaces based on
-boundedness of operator families and on square function estimates involving Muckenhoupt weights. 相似文献
15.
ZuoLIU ZhenDeWU 《数学学报(英文版)》2005,21(2):409-412
Let J.^r ,k denote the ideal in MO. of cobordism classes containing a representative that admits (Z2)^k-actions with a fixed point set of constant codimension r. In this paper we determine J,k^2k 2 and Ja,3^2^3 1. 相似文献
16.
Precise Asymptotics in the Law of the Iterated Logarithm of Moving-Average Processes 总被引:1,自引:0,他引:1
Yun Xia LI Li Xin ZHANG 《数学学报(英文版)》2006,22(1):143-156
In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers. 相似文献
17.
Gabriela?Hinojosa Alberto?Verjovsky 《Bulletin of the Brazilian Mathematical Society》2008,39(2):157-171
In this paper, we first define discrete, smooth actions on
, whose limit sets are Cantor sets wildly embedded in
(Antoine's necklaces). Secondly, we define Schottky groups on real projective spaces of odd dimensions,
. We lift these actions to (locally) projective actions on the sphere
and consider the quotient space of the domain of discontinuity by the group to obtain new examples of manifolds with real
projective structures.
*This work was partially supported by PROMEP (SEP).
**This work was partially supported by CONACyT (México), grant U1 55084, PAPIIT (UNAM) grant IN102108. 相似文献
18.
Yah SUN Gen Xiang CHAI 《数学学报(英文版)》2007,23(4):685-696
In this article the following random intercept mixed effects model will be considered: yij = vi =v^τijβ+ εij,i=1,…,m;j=1,2,…,ni, where {vi} are i.i.d, random effects with mean α 2. 2 and finite variance σ^2 v, {εij} are i.i.d, random errors with finite variance ε^2 ε. Here we will estimate α,σ^2 v,σ^2 ε,β and study their large sample properties, such as strong consistency, strong convergence rates and asymptotic normality. 相似文献
19.
Gioconda Moscariello Carlo Sbordone 《Journal of Fixed Point Theory and Applications》2007,1(2):337-350
Let
be a sequence of Borel measurable functions satisfying, for a function
the inequalities
and suppose
Then there exists a sequence of increasing homeomorphisms
converging to a homeomorphism
weakly in
and locally uniformly, such that
Dedicated to the memory of Jean Leray 相似文献
20.
Ricardo Abreu Blaya Juan Bory Reyes Dixan Peña Peña Frank Sommen 《Advances in Applied Clifford Algebras》2007,17(2):145-152
Starting with an integral representation for the class of continuously differentiable solutions
of the system
where
is the complex Clifford algebra constructed over
are some suitable Clifford vectors and
their corresponding Dirac operators, we define the isotonic Cauchy transform and establish the Sokhotski-Plemelj formulae.
Some consequences of this result are also derived. 相似文献