共查询到20条相似文献,搜索用时 265 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.
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
6.
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
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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.
Gilbert Baumslag 《Archiv der Mathematik》1961,12(1):405-408
10.
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
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12.
A. L. Kanunnikov 《Moscow University Mathematics Bulletin》2011,66(3):119-122
We prove graded variants of Goldie’s theorem of existence, structure, and coincidence of right classical quotient ring and
right maximal quotient ring of a semiprime (prime) right Goldie’s ring (Theorems 10, 11, and 13). The main difficulty consisting
in the problem of existence of a homogeneous regular element in each gr-essential right ideal is solved by posing some additional
requirements onto the group grading the ring or onto the homogeneous components of the ring. 相似文献
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In a complete Riemannian manifold (M, g) if the hessian of a real-valued function satisfies some suitable conditions, then it restricts the geometry of (M, g). In this paper we characterize all compact rank-one symmetric spaces as those Riemannian manifolds (M, g) admitting a real-valued functionu such that the hessian ofu has at most two eigenvalues ?u and $ - \frac{{u + 1}}{2}$ under some mild hypotheses on (M, g). This generalizes a well-known result of Obata which characterizes all round spheres. 相似文献
17.
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
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19.
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
20.
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