共查询到20条相似文献,搜索用时 50 毫秒
1.
Convergence of Newton‘’s Method and Uniqueness of the Solution of Equations in Banach SpacesⅡ 总被引:7,自引:0,他引:7
XingHuaWANG ChongLI 《数学学报(英文版)》2003,19(2):405-412
Some results on convergence of Newton‘s method in Banach spaces are established under the assumption that the derivative of the opderators satisfies the radius or center Lipschitz condition with a weak L average. 相似文献
2.
This paper determines all commutative zero divisor semigroups whose zero divisor graph is a complete graph (finite or infinite),
or a complete graph (finite or infinite) with one additional end vertex, and gives formulas for the numbers of all such semigroups
with n elements.
The research of T. Wu is supported by the National Natural Science Foundation of China (Grant No. 10671122) and the Natural
Science Foundation of Shanghai (Grant No. 06ZR14049). 相似文献
3.
From RTT relations the integrable Hamiltonian of the trigonometric Goryachev-Chaplygin gyrostat is established, which can
be reduced to the Hamiltonian of t-j model by using multi-fermion realization ofSU
q(2) algebra and average-field approximation.
Project supported in part by the National Natural Science Foundation of China (Grant No. 19377102). 相似文献
4.
Ji-bin Li 《中国科学A辑(英文版)》2007,50(2):153-164
Using the methods of dynamical systems for the (n + 1)-dimensional multiple sine-Gordon equation, the existences of uncountably infinite many periodic wave solutions and breaking
bounded wave solutions are obtained. For the double sine-Gordon equation, the exact explicit parametric representations of
the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are
determined.
This work was supported by the National Natural Science Foundation of China (Grant No. 11671179) and the Natural Science Foundation
of Yunnan Province (Grant No. 2005A0092M). 相似文献
5.
Yong-jia Xu 《中国科学A辑(英文版)》2007,50(5):628-650
In this paper, the stability properties, the endpoint behavior and the invertible relations of Cauchy-type singular integral
operators over an open curve are discussed. If the endpoints of the curve are not special, this type of operators are proved
to be stable. At the endpoints, either the singularity or smoothness of the operators are exactly described. And the function
sets or spaces on which the operators are invertible as well as the corresponding inverted operators are given. Meanwhile,
some applications for the solution of Cauchy-type singular integral equations are illustrated.
This work was partially supported by the National Natural Science Foundation of China (Grant No. 10471048) 相似文献
6.
Weiping Zhang 《中国科学A辑(英文版)》1999,42(12):1279-1285
A mod 2 index theorem for the twisted Signature operator on 4
q
+ 1 dimensional manifolds is established. This result generalizes a result of Farber and Turaev, which was proved for the
case of orthogonal flat bundles, to arbitrary real vector bundles. It also provides an analytic interpretation of the sign
of the Poincare-Reidemeister scalar product defined by Farber and Turaev.
Project partially supported by the National Natural Science Foundation of China (Grant No. 19525102), the Fok Ying-Tung Foundation
and the Qiu Shi Foundation. 相似文献
7.
Conjugation-uniqueness of exact Borel subalgebras 总被引:3,自引:0,他引:3
Yuehui Zhang 《中国科学A辑(英文版)》1999,42(12):1246-1250
It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other. Moreover, the
inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
Project supported by the National Natural Science Foundation of China (Grant No. 19771070). and partly supported by the NSF
of Hainan Province (Grant No. 19702) and by the Natural Science Foundation of Education Department of Hainan province. 相似文献
8.
Using actions of free monoids and free associative algebras, we establish some Schreiertype formulas involving ranks of actions
and ranks of subactions in free actions or Grassmann-type relations for the ranks of intersections of subactions of free actions.
The coset action of the free group is used to establish a generalization of the Schreier formula in the case of subgroups
of infinite index. We also study and apply large modules over free associative and free group algebras.
This work was supported by Natural Sciences and Engineering Research Council of Canada (Grant No. 227060-04), Yuri Bahturin,
National Science Foundation (Grant No. DMS-0700811) and Russian Fund for Basic Research (Grant No. 08-01-00573), Alexander
Olshanskii 相似文献
9.
In this paper we characterize the boundedness and compactness of weighted composition operators of H∞ into α-Bloch spaces on the unit ball in C^n. 相似文献
10.
一类无穷维Hamilton算子的半群生成定理 总被引:3,自引:0,他引:3
研究了无穷维H am ilton算子生成C0半群的问题,得到了类无穷维H am ilton算子生成C0半群的一个充分条件.把结果应用在一类双曲型混合问题生成的无穷维H am ilton算子上,证明此类算子生成C0半群,并利用H ille-Y osida定理进一步说明了结果的正确性和有效性.另外,还给出了波动方程相应的无穷维H am ilton算子所生成的C0半群的具体表达式. 相似文献
11.
Deriving generalized variational principles in general mechanics by using Lagrangian multiplier method 总被引:9,自引:0,他引:9
Lifu Liang 《中国科学A辑(英文版)》1999,42(12):1332-1339
By using the involutory transformations, the classical variational principle—Hamiltonian principle— of two kinds of variables
in general mechanics is advanced and by using undetermined Lagrangian multiplier method, the generalized variational principles
and generalized variational principles with subsidiary conditions are established. The stationary conditions of various kinds
of variational principles are derived and the relational problems discussed.
Project supported by the National Natural Science Foundation of China (Grant No. 19872022) and the Doctoral Education Foundation
of China (Grant No. 97021710). 相似文献
12.
Compactness of Product Operators on the Bergman Space 总被引:2,自引:0,他引:2
Mao Fa WANG Pei De LIU 《数学学报(英文版)》2005,21(4):723-732
In this paper, we study the compactness of the product of a composition operator with another one's adjoint on the Bergman space. Some necessary and sufficient conditions for such operators to be compact are given. 相似文献
13.
In this paper we obtain local L
p
estimates for the parabolic polyharmonic equations by a straightforward approach.
Yao was supported by the Innovation Foundation of Shanghai University (Grant No. A10-0101-08-905), Shanghai Leading Academic
Discipline Project (Grant No. J50101) and Key Disciplines of Shanghai Municipality (Grant No. S30104). Zhou was supported
by the National Basic Research Program of China (Grant No. 2006CB705700), National Natural Science Foundation of China (Grant
No. 60532080), and the Key Project of Chinese Ministry of Education (Grant No. 306017) 相似文献
14.
Meiyue Jiang 《中国科学A辑(英文版)》1999,42(11):1121-1128
A result due to Mather on the existence of Aubry-Mather sets for superlinear positive definite Lagrangian systems is generalized
in one-dimensional case. Applications to existence of Aubry-Mather sets of planar Hamiltonian systems are given.
Project supported by the National Natural Science Foundation of China (Grant No. 19631020). 相似文献
15.
Criterion on the limits of superprocesses 总被引:1,自引:0,他引:1
Yongjin Wang 《中国科学A辑(英文版)》1998,41(8):849-858
Starting with super-diffusion processes, the asymptotic behavior of the superprocesses on finite and infinite measure spaces
is systematically studied by general branching mechanisms. The complete features of their limits are described and a criterion
on their behavior is presented.
Project supported by the National Natural Science Foundation of China (Grant No. 19631010) and the Mathematical Centre of
the State Education Commission. 相似文献
16.
将点谱划分为四个部分,得到上三角无穷维Hamilton算子的点谱σ_p(H)关于虚轴对称的充要条件.在此基础上,结合无穷维Hamilton算子的谱结构,得到无穷维Hamilton算子剩余谱的完全描述,从而实现了利用其内部算子刻画剩余谱. 相似文献
17.
The purpose of this paper is to characterize the pointwise rate of convergence for the combinations of Szász-Mirakjan operators using Ditzian-Totik modulus of smoothness. 相似文献
18.
The notion of locally weak monotonicity inequality for weakly harmonic maps is introduced and various results on this class
of maps are obtained. For example, the locally weak monotonicity inequality is nearly equivalent to theε-regularity.
Project supported by the National Natural Science Foundation of China (Grant No. 19571028) and the Guangdong Provincial Natural
Science Foundation of China. 相似文献
19.
20.
Min Zhu ZHANG Wen XU 《数学学报(英文版)》2007,23(11):1991-2002
The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball. 相似文献