共查询到20条相似文献,搜索用时 244 毫秒
1.
史金麟 《中国科学A辑(英文版)》2003,46(2):215-228
Hartman's linearization theorem tells us that if matrix A has no zero real part and f(x) is bounded and satisfies Lipchitz condition with small Lipchitzian constant, then there exists a homeomorphism of Rn sending the solutions of nonlinear system x' = Ax + f(x) onto the solutions of linear system x = Ax. In this paper, some components of the nonlinear item f(x) are permitted to be unbounded and we prove the result of global topological linearization without any special limitation and adding any condition. Thus, Hartman's linearization theorem is improved essentially. 相似文献
2.
JIANG Long Department of Mathematics China University of Mining Technology Xuzhou China Institute of Mathematics Fudan University Shanghai China School of Mathematics System Sciences Shandong University Jinan China 《中国科学A辑(英文版)》2006,49(10):1353-1362
This paper establishes a limit theorem for solutions of backward stochastic differential equations (BSDEs). By this limit theorem, this paper proves that, under the standard assumption g(t,y,0) = 0, the generator g of a BSDE can be uniquely determined by the corresponding g-expectationεg;this paper also proves that if a filtration consistent expectation S can be represented as a g-expectationεg, then the corresponding generator g must be unique. 相似文献
3.
Norbert Kusolitsch 《Periodica Mathematica Hungarica》2010,61(1-2):225-229
In 1947 Henry Scheffé published a result which afterwards became known as Scheffé’s theorem, stating that the distributions of a sequence (f n ) of densities, which converge almost everywhere to a density f, converge uniformly to the distribution of f. But almost 20 years earlier Frigyes Riesz proved a sufficient condition for convergence in the p-th mean (p ≥ 1), wherefrom the Scheffé theorem is just a special case. 相似文献
4.
Shige Peng 《Probability Theory and Related Fields》1999,113(4):473-499
We have obtained the following limit theorem: if a sequence of RCLL supersolutions of a backward stochastic differential
equations (BSDE) converges monotonically up to (y
t
) with E[sup
t
|y
t
|2] < ∞, then (y
t
) itself is a RCLL supersolution of the same BSDE (Theorem 2.4 and 3.6).
We apply this result to the following two problems: 1) nonlinear Doob–Meyer Decomposition Theorem. 2) the smallest supersolution
of a BSDE with constraints on the solution (y, z). The constraints may be non convex with respect to (y, z) and may be only measurable with respect to the time variable t. this result may be applied to the pricing of hedging contingent claims with constrained portfolios and/or wealth processes.
Received: 3 June 1997 / Revised version: 18 January 1998 相似文献
5.
Hung-Hsi Wu 《中国科学A辑(英文版)》2008,51(4):777-784
A historical survey of the Gauss-Bonnet theorem from Gauss to Chern. 相似文献
6.
7.
Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials' space on compact Riemann surfaces.And we also construct a basis of theλ-differentials' space.As the main result,the Cauchy type of integral formula on compact Riemann surfaces is established. 相似文献
8.
CheeWhye Chin 《Advances in Mathematics》2003,180(1):64-86
Let X be a smooth curve over a finite field of characteristic p, let ?≠p be a prime number, and let be an irreducible lisse -sheaf on X whose determinant is of finite order. By a theorem of L. Lafforgue, for each prime number ?′≠p, there exists an irreducible lisse -sheaf on X which is compatible with , in the sense that at every closed point x of X, the characteristic polynomials of Frobenius at x for and are equal. We prove an “independence of ?” assertion on the fields of definition of these irreducible ?′-adic sheaves : namely, that there exists a number field F such that for any prime number ?′≠p, the -sheaf above is defined over the completion of F at one of its ?′-adic places. 相似文献
9.
L. Klotz 《Analysis Mathematica》1992,18(1):63-72
— -B T . , T, T. — T, .., d=1. - . Cere: 0<p< exp logd=inf ¦1–t¦
p
d, t , t(0)=0., . . . . . , . [1]. , . p=2 . - . p=2 [6, 8]. — p. 相似文献
10.
Gilbert Baumslag 《Archiv der Mathematik》1961,12(1):405-408
11.
E. A. Lebedeva 《Mathematical Notes》2010,88(5-6):717-722
We study the asymptotic behavior of the roots of polynomials given by a linear summation method for partial sums of the Fourier series. 相似文献
12.
John R. Reay 《Israel Journal of Mathematics》1979,34(3):238-244
In a generalization of Radon’s theorem, Tverberg showed that each setS of at least (d+1) (r ? 1)+1 points inR d has anr-partition into (pair wise disjoint) subsetsS =S 1 ∪ … ∪S r so that \(\bigcap\nolimits_i^r {\underline{\underline {}} } _1 \) convS i # Ø. This note considers the following more general problems: (1) How large mustS σR d be to assure thatS has anr-partitionS=S 1∪ … ∪S r so that eachn members of the family {convS i ~ i-1 r have non-empty intersection, where 1<=n<=r. (2) How large mustS ∪R d be to assure thatS has anr-partition for which \(\bigcap\nolimits_i^r {\underline{\underline {}} } _1 \) convS r is at least 1-dimensional. 相似文献
13.
References: 《高校应用数学学报(英文版)》2008,23(1):79-82
In this paper, by introducing isometrically Pc0 property a separation form of convergence theorem is presented and the results generalize and unify several interesting conclusions in recent years. 相似文献
14.
Benjamin D. Mestel 《Aequationes Mathematicae》2014,88(1-2):35-38
We give a simple, functional analytic proof of Koenigs’ theorem on the linearisation of a complex analytic function in a neighbourhood of a hyperbolic fixed point. The proof uses the contraction mapping principle in the nonlinearity norm. 相似文献
15.
Nekhoroshev discovered a beautiful theorem in Hamiltonian systems that includes as special cases not only the Poincaré theorem on periodic orbits but also the theorem of Liouville–Arnol’d on completely integrable systems [7]. Sadly, his early death precluded him publishing a full account of his proof. The aim of this paper is twofold: first, to provide a complete proof of his original theorem and second a generalization to the noncommuting case. Our generalization of Nekhoroshev’s theorem to the nonabelian case subsumes aspects of the theory of noncommutative complete integrability as found in Mishchenko and Fomenko [5] and is similar to what Nekhoroshev’s theorem does in the abelian case. 相似文献
16.
Rafał Filipów Nikodem Mrożek Ireneusz Recław Piotr Szuca 《Czechoslovak Mathematical Journal》2011,61(2):289-308
We consider various forms of Ramsey’s theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem which are connected with ideals of subsets of natural numbers. We characterize ideals with properties considered. We show that, in a sense, Ramsey’s theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem characterize the same class of ideals. We use our results to show some versions of density Ramsey’s theorem (these are similar to generalizations shown in [P. Frankl, R. L. Graham, and V. Rödl: Iterated combinatorial density theorems. 相似文献
17.
18.
Peng SUN 《数学物理学报(B辑英文版)》2018,38(3):965-972
We prove a generalized Gauss-Kuzmin-Lévy theorem for the generalized Gauss transformation
In addition, we give an estimate for the constant that appears in the theorem. 相似文献
19.
We proved some inequalities for concave functions. Those inequalities complemented a theorem obtained by Lee. Finally, we partially solved an open problem proposed by Zhang P. 相似文献
20.
Xinjian Zhang 《代数通讯》2017,45(11):4971-4973
In this paper, we studied the supersolvability of the product of two subgroups and got a generalization of Baer’s theorem. 相似文献